2967540632960 has 32 divisors (see below), whose sum is σ = 7094276827200. Its totient is φ = 1187016252928.

The previous prime is 2967540632933. The next prime is 2967540633007. The reversal of 2967540632960 is 692360457692.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2967540632960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2318390480 + ... + 2318391759.

It is an arithmetic number, because the mean of its divisors is an integer number (221696150850).

Almost surely, 2^{2967540632960} is an apocalyptic number.

2967540632960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2967540632960 is an abundant number, since it is smaller than the sum of its proper divisors (4126736194240).

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

2967540632960 is an equidigital number, since it uses as much as digits as its factorization.

2967540632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636782258 (or 4636782246 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 59.

The spelling of 2967540632960 in words is "two trillion, nine hundred sixty-seven billion, five hundred forty million, six hundred thirty-two thousand, nine hundred sixty".