2725921440 has 576 divisors, whose sum is σ = 11004844032. Its totient is φ = 607027200.

The previous prime is 2725921427. The next prime is 2725921483. The reversal of 2725921440 is 441295272.

2725921440 is a `hidden beast` number, since 27 + 2 + 592 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2725921395 and 2725921404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14271745 + ... + 14271935.

It is an arithmetic number, because the mean of its divisors is an integer number (19105632).

Almost surely, 2^2725921440 is an apocalyptic number.

2725921440 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 2725921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502422016).

2725921440 is an abundant number, since it is smaller than the sum of its proper divisors (8278922592).

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

2725921440 is a wasteful number, since it uses less digits than its factorization.

2725921440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2725921440 is about 52210.3575931060. The cubic root of 2725921440 is about 1396.9186379473.

The spelling of 2725921440 in words is "two billion, seven hundred twenty-five million, nine hundred twenty-one thousand, four hundred forty".