2499712992 has 144 divisors (see below), whose sum is σ = 8222497920. Its totient is φ = 705551616.

The previous prime is 2499712981. The next prime is 2499713011. The reversal of 2499712992 is 2992179942.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×2499712992³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159859 + ... + 174797.

It is an arithmetic number, because the mean of its divisors is an integer number (57100680).

Almost surely, 2^2499712992 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 2499712992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111248960).

2499712992 is an abundant number, since it is smaller than the sum of its proper divisors (5722784928).

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

2499712992 is a wasteful number, since it uses less digits than its factorization.

2499712992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15045 (or 15034 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 2499712992 is about 49997.1298376217. The cubic root of 2499712992 is about 1357.1568690051.

The spelling of 2499712992 in words is "two billion, four hundred ninety-nine million, seven hundred twelve thousand, nine hundred ninety-two".