2564969760 has 384 divisors, whose sum is σ = 9405849600. Its totient is φ = 652078080.

The previous prime is 2564969723. The next prime is 2564969773. The reversal of 2564969760 is 679694652.

2564969760 is a `hidden beast` number, since 2 + 5 + 6 + 496 + 97 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2564969697 and 2564969706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14329351 + ... + 14329529.

It is an arithmetic number, because the mean of its divisors is an integer number (24494400).

Almost surely, 2^2564969760 is an apocalyptic number.

2564969760 is a gapful number since it is divisible by the number (20) 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 2564969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702924800).

2564969760 is an abundant number, since it is smaller than the sum of its proper divisors (6840879840).

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

2564969760 is a wasteful number, since it uses less digits than its factorization.

2564969760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 2564969760 is about 50645.5305036881. The cubic root of 2564969760 is about 1368.8654111729.

It can be divided in two parts, 256496 and 9760, that added together give a square (266256 = 516²).

The spelling of 2564969760 in words is "two billion, five hundred sixty-four million, nine hundred sixty-nine thousand, seven hundred sixty".