2554493760 has 1008 divisors, whose sum is σ = 11835847296. Its totient is φ = 510603264.

The previous prime is 2554493759. The next prime is 2554493761. The reversal of 2554493760 is 673944552.

2554493760 is a `hidden beast` number, since 2 + 554 + 4 + 9 + 37 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2554493759) and next prime (2554493761).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554493761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134447031 + ... + 134447049.

It is an arithmetic number, because the mean of its divisors is an integer number (11741912).

Almost surely, 2^2554493760 is an apocalyptic number.

2554493760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917923648).

2554493760 is an abundant number, since it is smaller than the sum of its proper divisors (9281353536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2554493760 is a wasteful number, since it uses less digits than its factorization.

2554493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 2554493760 is about 50541.9999604290. Note that the first 4 decimals coincide. The cubic root of 2554493760 is about 1366.9992681140. Note that the first 3 decimals are identical.

The spelling of 2554493760 in words is "two billion, five hundred fifty-four million, four hundred ninety-three thousand, seven hundred sixty".