2539979520 has 576 divisors, whose sum is σ = 9605361024. Its totient is φ = 566231040.

The previous prime is 2539979501. The next prime is 2539979521. The reversal of 2539979520 is 259799352.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2539979521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34794204 + ... + 34794276.

It is an arithmetic number, because the mean of its divisors is an integer number (16675974).

Almost surely, 2^2539979520 is an apocalyptic number.

2539979520 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 2539979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802680512).

2539979520 is an abundant number, since it is smaller than the sum of its proper divisors (7065381504).

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

2539979520 is a wasteful number, since it uses less digits than its factorization.

2539979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The square root of 2539979520 is about 50398.2094920048. The cubic root of 2539979520 is about 1364.4053226798.

The spelling of 2539979520 in words is "two billion, five hundred thirty-nine million, nine hundred seventy-nine thousand, five hundred twenty".