2968407409025 has 6 divisors (see below), whose sum is σ = 3680825187222. Its totient is φ = 2374725927200.

The previous prime is 2968407409007. The next prime is 2968407409087. The reversal of 2968407409025 is 5209047048692.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 299078828161 + 2669328580864 = 546881^2 + 1633808^2 .

It is not a de Polignac number, because 2968407409025 - 2⁶ = 2968407408961 is a prime.

It is a super-2 number, since 2×2968407409025² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59368148156 + ... + 59368148205.

It is an arithmetic number, because the mean of its divisors is an integer number (613470864537).

Almost surely, 2^{2968407409025} is an apocalyptic number.

2968407409025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2968407409025 is a deficient number, since it is larger than the sum of its proper divisors (712417778197).

2968407409025 is a wasteful number, since it uses less digits than its factorization.

2968407409025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118736296371 (or 118736296366 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 2968407409025 in words is "two trillion, nine hundred sixty-eight billion, four hundred seven million, four hundred nine thousand, twenty-five".