2990156117760 has 2304 divisors, whose sum is σ = 13060669440000. Its totient is φ = 646704414720.

The previous prime is 2990156117759. The next prime is 2990156117777. The reversal of 2990156117760 is 677116510992.

2990156117760 is a `hidden beast` number, since 2 + 9 + 9 + 0 + 1 + 561 + 1 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2990156117697 and 2990156117706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29030641869 + ... + 29030641971.

Almost surely, 2^{2990156117760} is an apocalyptic number.

2990156117760 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 2990156117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530334720000).

2990156117760 is an abundant number, since it is smaller than the sum of its proper divisors (10070513322240).

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

2990156117760 is a wasteful number, since it uses less digits than its factorization.

2990156117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 2990156117760 in words is "two trillion, nine hundred ninety billion, one hundred fifty-six million, one hundred seventeen thousand, seven hundred sixty".