2945751264000 has 216 divisors, whose sum is σ = 10599673261632. Its totient is φ = 785533593600.

The previous prime is 2945751263977. The next prime is 2945751264077. The reversal of 2945751264000 is 4621575492.

2945751264000 is a `hidden beast` number, since 2 + 9 + 4 + 575 + 12 + 64 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4826152 + ... + 5402151.

Almost surely, 2^{2945751264000} is an apocalyptic number.

2945751264000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2945751264000 is an abundant number, since it is smaller than the sum of its proper divisors (7653921997632).

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

2945751264000 is a wasteful number, since it uses less digits than its factorization.

2945751264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10228340 (or 10228313 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2945751264000 in words is "two trillion, nine hundred forty-five billion, seven hundred fifty-one million, two hundred sixty-four thousand".