2481856900992 has 384 divisors, whose sum is σ = 8715906201600. Its totient is φ = 662562754560.

The previous prime is 2481856900907. The next prime is 2481856901039. The reversal of 2481856900992 is 2990096581842.

2481856900992 is a `hidden beast` number, since 2 + 481 + 8 + 5 + 69 + 0 + 0 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2481856900992² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7078363 + ... + 7420709.

It is an arithmetic number, because the mean of its divisors is an integer number (22697672400).

Almost surely, 2^{2481856900992} 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 2481856900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357953100800).

2481856900992 is an abundant number, since it is smaller than the sum of its proper divisors (6234049300608).

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

2481856900992 is a wasteful number, since it uses less digits than its factorization.

2481856900992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342434 (or 342419 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 2481856900992 in words is "two trillion, four hundred eighty-one billion, eight hundred fifty-six million, nine hundred thousand, nine hundred ninety-two".