2604056294016 has 320 divisors, whose sum is σ = 8018113593600. Its totient is φ = 838076129280.

The previous prime is 2604056293997. The next prime is 2604056294069. The reversal of 2604056294016 is 6104926504062.

2604056294016 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 0 + 5 + 629 + 4 + 0 + 16 = 666.

It is a super-2 number, since 2×2604056294016² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142374600 + ... + 142392888.

It is an arithmetic number, because the mean of its divisors is an integer number (25056604980).

Almost surely, 2^{2604056294016} 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 2604056294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009056796800).

2604056294016 is an abundant number, since it is smaller than the sum of its proper divisors (5414057299584).

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

2604056294016 is a wasteful number, since it uses less digits than its factorization.

2604056294016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18789 (or 18768 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2604056294016 in words is "two trillion, six hundred four billion, fifty-six million, two hundred ninety-four thousand, sixteen".