2604961852416 has 1056 divisors, whose sum is σ = 9939930681600. Its totient is φ = 666259292160.

The previous prime is 2604961852403. The next prime is 2604961852453. The reversal of 2604961852416 is 6142581694062.

It is a happy number.

2604961852416 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 9 + 618 + 5 + 2 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×2604961852416³ (a number of 38 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 998450920 + ... + 998453528.

Almost surely, 2^{2604961852416} 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 2604961852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969965340800).

2604961852416 is an abundant number, since it is smaller than the sum of its proper divisors (7334968829184).

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

2604961852416 is a wasteful number, since it uses less digits than its factorization.

2604961852416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

It can be divided in two parts, 260496 and 1852416, that multiplied together give a square (482546958336 = 694656²).

The spelling of 2604961852416 in words is "two trillion, six hundred four billion, nine hundred sixty-one million, eight hundred fifty-two thousand, four hundred sixteen".