2540659200 has 240 divisors, whose sum is σ = 8483861760. Its totient is φ = 670187520.

The previous prime is 2540659183. The next prime is 2540659201. The reversal of 2540659200 is 29560452.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2540659201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4185297 + ... + 4185903.

It is an arithmetic number, because the mean of its divisors is an integer number (35349424).

Almost surely, 2^2540659200 is an apocalyptic number.

2540659200 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 2540659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241930880).

2540659200 is an abundant number, since it is smaller than the sum of its proper divisors (5943202560).

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

2540659200 is a wasteful number, since it uses less digits than its factorization.

2540659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2540659200 is about 50404.9521376620. The cubic root of 2540659200 is about 1364.5270134646.

The spelling of 2540659200 in words is "two billion, five hundred forty million, six hundred fifty-nine thousand, two hundred".