2953670952960 has 2304 divisors, whose sum is σ = 13602455193600. Its totient is φ = 601974374400.

The previous prime is 2953670952889. The next prime is 2953670952979. The reversal of 2953670952960 is 692590763592.

2953670952960 is a `hidden beast` number, since 2 + 9 + 5 + 36 + 70 + 9 + 529 + 6 + 0 = 666.

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

It is a super-4 number, since 4×2953670952960⁴ (a number of 51 digits) contains 4444 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5459650290 + ... + 5459650830.

It is an arithmetic number, because the mean of its divisors is an integer number (5903843400).

Almost surely, 2^{2953670952960} is an apocalyptic number.

2953670952960 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 2953670952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801227596800).

2953670952960 is an abundant number, since it is smaller than the sum of its proper divisors (10648784240640).

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

2953670952960 is a wasteful number, since it uses less digits than its factorization.

2953670952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 2953670952960 in words is "two trillion, nine hundred fifty-three billion, six hundred seventy million, nine hundred fifty-two thousand, nine hundred sixty".