2940206756256 has 384 divisors, whose sum is σ = 10708495902720. Its totient is φ = 762487603200.

The previous prime is 2940206756233. The next prime is 2940206756281. The reversal of 2940206756256 is 6526576020492.

2940206756256 is a `hidden beast` number, since 2 + 9 + 4 + 0 + 2 + 0 + 6 + 7 + 5 + 625 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42609975 + ... + 42678921.

It is an arithmetic number, because the mean of its divisors is an integer number (27886708080).

Almost surely, 2^{2940206756256} 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 2940206756256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354247951360).

2940206756256 is an abundant number, since it is smaller than the sum of its proper divisors (7768289146464).

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

2940206756256 is a wasteful number, since it uses less digits than its factorization.

2940206756256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69625 (or 69611 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2940206756256 in words is "two trillion, nine hundred forty billion, two hundred six million, seven hundred fifty-six thousand, two hundred fifty-six".