2725901640 has 256 divisors, whose sum is σ = 11328768000. Its totient is φ = 566403840.

The previous prime is 2725901609. The next prime is 2725901677. The reversal of 2725901640 is 461095272.

2725901640 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 9 + 0 + 1 + 640 = 666.

2725901640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2725901595 and 2725901604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66771 + ... + 99549.

It is an arithmetic number, because the mean of its divisors is an integer number (44253000).

Almost surely, 2^2725901640 is an apocalyptic number.

2725901640 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 2725901640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664384000).

2725901640 is an abundant number, since it is smaller than the sum of its proper divisors (8602866360).

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

2725901640 is a wasteful number, since it uses less digits than its factorization.

2725901640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32817 (or 32807 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2725901640 is about 52210.1679752134. The cubic root of 2725901640 is about 1396.9152557202.

The spelling of 2725901640 in words is "two billion, seven hundred twenty-five million, nine hundred one thousand, six hundred forty".