2496131904 has 224 divisors, whose sum is σ = 7858020352. Its totient is φ = 684288000.

The previous prime is 2496131893. The next prime is 2496131921. The reversal of 2496131904 is 4091316942.

It is a tau number, because it is divible by the number of its divisors (224).

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, 7541019 + ... + 7541349.

It is an arithmetic number, because the mean of its divisors is an integer number (35080448).

Almost surely, 2^2496131904 is an apocalyptic number.

2496131904 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 2496131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929010176).

2496131904 is an abundant number, since it is smaller than the sum of its proper divisors (5361888448).

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

2496131904 is a wasteful number, since it uses less digits than its factorization.

2496131904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2496131904 is about 49961.3040662471. The cubic root of 2496131904 is about 1356.5084717823.

It can be divided in two parts, 24961 and 31904, that added together give a palindrome (56865).

The spelling of 2496131904 in words is "two billion, four hundred ninety-six million, one hundred thirty-one thousand, nine hundred four".