2492326368000 has 3456 divisors, whose sum is σ = 11849496422400. Its totient is φ = 503635968000.

The previous prime is 2492326367969. The next prime is 2492326368029. The reversal of 2492326368000 is 8636232942.

It is a happy number.

2492326368000 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 3 + 2 + 636 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60788447980 + ... + 60788448020.

Almost surely, 2^{2492326368000} is an apocalyptic number.

2492326368000 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 2492326368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924748211200).

2492326368000 is an abundant number, since it is smaller than the sum of its proper divisors (9357170054400).

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

2492326368000 is a wasteful number, since it uses less digits than its factorization.

2492326368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2492326368000 in words is "two trillion, four hundred ninety-two billion, three hundred twenty-six million, three hundred sixty-eight thousand".