2969987450304 has 112 divisors (see below), whose sum is σ = 9270375704576. Its totient is φ = 821194675200.

The previous prime is 2969987450299. The next prime is 2969987450323. The reversal of 2969987450304 is 4030547899692.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35600467 + ... + 35683794.

It is an arithmetic number, because the mean of its divisors is an integer number (82771211648).

Almost surely, 2^{2969987450304} is an apocalyptic number.

2969987450304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2969987450304 is an abundant number, since it is smaller than the sum of its proper divisors (6300388254272).

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

2969987450304 is a wasteful number, since it uses less digits than its factorization.

2969987450304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71284314 (or 71284304 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 2969987450304 in words is "two trillion, nine hundred sixty-nine billion, nine hundred eighty-seven million, four hundred fifty thousand, three hundred four".