2560994496 has 280 divisors, whose sum is σ = 8099023680. Its totient is φ = 801176832.

The previous prime is 2560994459. The next prime is 2560994531. The reversal of 2560994496 is 6944990652.

It is a happy number.

2560994496 is a `hidden beast` number, since 2 + 5 + 60 + 9 + 94 + 496 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23934475 + ... + 23934581.

Almost surely, 2^2560994496 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 2560994496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049511840).

2560994496 is an abundant number, since it is smaller than the sum of its proper divisors (5538029184).

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

2560994496 is an frugal number, since it uses more digits than its factorization.

2560994496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 2560994496 is about 50606.2693349352. The cubic root of 2560994496 is about 1368.1578765161.

The spelling of 2560994496 in words is "two billion, five hundred sixty million, nine hundred ninety-four thousand, four hundred ninety-six".