2492023968000 has 1440 divisors, whose sum is σ = 10818545337600. Its totient is φ = 569402265600.

The previous prime is 2492023967989. The next prime is 2492023968013. The reversal of 2492023968000 is 8693202942.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a zygodrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 889054599 + ... + 889057401.

Almost surely, 2^{2492023968000} is an apocalyptic number.

2492023968000 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 2492023968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409272668800).

2492023968000 is an abundant number, since it is smaller than the sum of its proper divisors (8326521369600).

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

2492023968000 is an frugal number, since it uses more digits than its factorization.

2492023968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2492023968000 in words is "two trillion, four hundred ninety-two billion, twenty-three million, nine hundred sixty-eight thousand".