2492966400 has 120 divisors (see below), whose sum is σ = 8235485544. Its totient is φ = 664780800.

The previous prime is 2492966369. The next prime is 2492966417. The reversal of 2492966400 is 46692942.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5940 + ... + 70860.

Almost surely, 2^2492966400 is an apocalyptic number.

2492966400 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 2492966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117742772).

2492966400 is an abundant number, since it is smaller than the sum of its proper divisors (5742519144).

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

2492966400 is an equidigital number, since it uses as much as digits as its factorization.

2492966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64952 (or 64931 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2492966400 is about 49929.6144587558. The cubic root of 2492966400 is about 1355.9348042549.

The spelling of 2492966400 in words is "two billion, four hundred ninety-two million, nine hundred sixty-six thousand, four hundred".