2725034400 has 360 divisors, whose sum is σ = 10843930944. Its totient is φ = 660441600.

The previous prime is 2725034371. The next prime is 2725034443. The reversal of 2725034400 is 44305272.

2725034400 is a `hidden beast` number, since 2 + 7 + 250 + 3 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 710889 + ... + 714711.

Almost surely, 2^2725034400 is an apocalyptic number.

2725034400 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 2725034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421965472).

2725034400 is an abundant number, since it is smaller than the sum of its proper divisors (8118896544).

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

2725034400 is a wasteful number, since it uses less digits than its factorization.

2725034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2725034400 is about 52201.8620357550. The cubic root of 2725034400 is about 1396.7670981020.

Adding to 2725034400 its reverse (44305272), we get a palindrome (2769339672).

The spelling of 2725034400 in words is "two billion, seven hundred twenty-five million, thirty-four thousand, four hundred".