2492145532800 has 3840 divisors, whose sum is σ = 12297134361600. Its totient is φ = 481738752000.

The previous prime is 2492145532771. The next prime is 2492145532813. The reversal of 2492145532800 is 82355412942.

2492145532800 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 14 + 553 + 2 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 28001635156 + ... + 28001635244.

It is an arithmetic number, because the mean of its divisors is an integer number (3202378740).

Almost surely, 2^{2492145532800} is an apocalyptic number.

2492145532800 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 2492145532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148567180800).

2492145532800 is an abundant number, since it is smaller than the sum of its proper divisors (9804988828800).

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

2492145532800 is a wasteful number, since it uses less digits than its factorization.

2492145532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2492145532800 in words is "two trillion, four hundred ninety-two billion, one hundred forty-five million, five hundred thirty-two thousand, eight hundred".