2991370263264 has 288 divisors, whose sum is σ = 9080563968000. Its totient is φ = 957979042560.

The previous prime is 2991370263209. The next prime is 2991370263293. The reversal of 2991370263264 is 4623620731992.

2991370263264 is a `hidden beast` number, since 2 + 9 + 9 + 1 + 370 + 2 + 6 + 3 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×2991370263264⁴ (a number of 51 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2991370263264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115399297 + ... + 115425215.

It is an arithmetic number, because the mean of its divisors is an integer number (31529736000).

Almost surely, 2^{2991370263264} is an apocalyptic number.

2991370263264 is a gapful number since it is divisible by the number (24) 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 2991370263264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540281984000).

2991370263264 is an abundant number, since it is smaller than the sum of its proper divisors (6089193704736).

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

2991370263264 is a wasteful number, since it uses less digits than its factorization.

2991370263264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26139 (or 26094 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 2991370263264 in words is "two trillion, nine hundred ninety-one billion, three hundred seventy million, two hundred sixty-three thousand, two hundred sixty-four".