2539493376 has 192 divisors, whose sum is σ = 7812080640. Its totient is φ = 718602240.

The previous prime is 2539493323. The next prime is 2539493377. The reversal of 2539493376 is 6733949352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2539493377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5891881 + ... + 5892311.

It is an arithmetic number, because the mean of its divisors is an integer number (40687920).

Almost surely, 2^2539493376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2539493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906040320).

2539493376 is an abundant number, since it is smaller than the sum of its proper divisors (5272587264).

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

2539493376 is a wasteful number, since it uses less digits than its factorization.

2539493376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 580 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 51.

The square root of 2539493376 is about 50393.3862327191. The cubic root of 2539493376 is about 1364.3182695128.

The spelling of 2539493376 in words is "two billion, five hundred thirty-nine million, four hundred ninety-three thousand, three hundred seventy-six".