2560477392 has 480 divisors, whose sum is σ = 8969425920. Its totient is φ = 697973760.

The previous prime is 2560477363. The next prime is 2560477393. The reversal of 2560477392 is 2937740652.

2560477392 is a `hidden beast` number, since 2 + 5 + 604 + 7 + 7 + 39 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560477393) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18689548 + ... + 18689684.

It is an arithmetic number, because the mean of its divisors is an integer number (18686304).

Almost surely, 2^2560477392 is an apocalyptic number.

2560477392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560477392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484712960).

2560477392 is an abundant number, since it is smaller than the sum of its proper divisors (6408948528).

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

2560477392 is a wasteful number, since it uses less digits than its factorization.

2560477392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 2560477392 is about 50601.1599867039. The cubic root of 2560477392 is about 1368.0657863100.

The spelling of 2560477392 in words is "two billion, five hundred sixty million, four hundred seventy-seven thousand, three hundred ninety-two".