2945102893056 has 1456 divisors, whose sum is σ = 10124500621440. Its totient is φ = 851363758080.

The previous prime is 2945102893043. The next prime is 2945102893063. The reversal of 2945102893056 is 6503982015492.

2945102893056 is a `hidden beast` number, since 2 + 9 + 4 + 51 + 0 + 289 + 305 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2945102892993 and 2945102893011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48280375266 + ... + 48280375326.

Almost surely, 2^{2945102893056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2945102893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062250310720).

2945102893056 is an abundant number, since it is smaller than the sum of its proper divisors (7179397728384).

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

2945102893056 is an equidigital number, since it uses as much as digits as its factorization.

2945102893056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2945102893056 in words is "two trillion, nine hundred forty-five billion, one hundred two million, eight hundred ninety-three thousand, fifty-six".