2490007772160 has 1408 divisors, whose sum is σ = 9813652070400. Its totient is φ = 596241285120.

The previous prime is 2490007772111. The next prime is 2490007772221. The reversal of 2490007772160 is 612777000942.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4315437792 + ... + 4315438368.

Almost surely, 2^{2490007772160} is an apocalyptic number.

2490007772160 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 2490007772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906826035200).

2490007772160 is an abundant number, since it is smaller than the sum of its proper divisors (7323644298240).

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

2490007772160 is a wasteful number, since it uses less digits than its factorization.

2490007772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 2490007772160 in words is "two trillion, four hundred ninety billion, seven million, seven hundred seventy-two thousand, one hundred sixty".