2604956547456 has 384 divisors, whose sum is σ = 7950518634240. Its totient is φ = 848743557120.

The previous prime is 2604956547437. The next prime is 2604956547463. The reversal of 2604956547456 is 6547456594062.

It is a happy number.

2604956547456 is a `hidden beast` number, since 2 + 6 + 0 + 49 + 5 + 6 + 547 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×2604956547456³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2604956547393 and 2604956547402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309262861 + ... + 309271283.

It is an arithmetic number, because the mean of its divisors is an integer number (20704475610).

Almost surely, 2^{2604956547456} 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 2604956547456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975259317120).

2604956547456 is an abundant number, since it is smaller than the sum of its proper divisors (5345562086784).

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

2604956547456 is an equidigital number, since it uses as much as digits as its factorization.

2604956547456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 2604956547456 in words is "two trillion, six hundred four billion, nine hundred fifty-six million, five hundred forty-seven thousand, four hundred fifty-six".