2564552340 has 480 divisors, whose sum is σ = 9958443264. Its totient is φ = 539136000.

The previous prime is 2564552281. The next prime is 2564552359. The reversal of 2564552340 is 432554652.

2564552340 is a `hidden beast` number, since 2 + 5 + 64 + 552 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2564552295 and 2564552304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10217215 + ... + 10217465.

It is a vampire number, since it can be written as 40545 ⋅ 63252 (with its own digits).

Almost surely, 2^2564552340 is an apocalyptic number.

2564552340 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 2564552340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979221632).

2564552340 is an abundant number, since it is smaller than the sum of its proper divisors (7393890924).

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

2564552340 is a wasteful number, since it uses less digits than its factorization.

2564552340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2564552340 is about 50641.4093405782. The cubic root of 2564552340 is about 1368.7911513242.

The spelling of 2564552340 in words is "two billion, five hundred sixty-four million, five hundred fifty-two thousand, three hundred forty".