2539661904 has 160 divisors (see below), whose sum is σ = 8264054400. Its totient is φ = 740275200.

The previous prime is 2539661881. The next prime is 2539661941. The reversal of 2539661904 is 4091669352.

2539661904 is a `hidden beast` number, since 25 + 3 + 9 + 6 + 619 + 0 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2539661904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94804 + ... + 118604.

It is an arithmetic number, because the mean of its divisors is an integer number (51650340).

Almost surely, 2^2539661904 is an apocalyptic number.

2539661904 is a gapful number since it is divisible by the number (24) 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 2539661904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132027200).

2539661904 is an abundant number, since it is smaller than the sum of its proper divisors (5724392496).

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

2539661904 is a wasteful number, since it uses less digits than its factorization.

2539661904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23850 (or 23838 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2539661904 is about 50395.0583291656. The cubic root of 2539661904 is about 1364.3484488583.

The spelling of 2539661904 in words is "two billion, five hundred thirty-nine million, six hundred sixty-one thousand, nine hundred four".