2564835840 has 960 divisors, whose sum is σ = 11439267840. Its totient is φ = 537477120.

The previous prime is 2564835751. The next prime is 2564835841. The reversal of 2564835840 is 485384652.

2564835840 is a `hidden beast` number, since 2 + 5 + 64 + 8 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2564835840² = 13156765772297011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2564835841) 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, 82736625 + ... + 82736655.

It is an arithmetic number, because the mean of its divisors is an integer number (11915904).

Almost surely, 2^2564835840 is an apocalyptic number.

2564835840 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 2564835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719633920).

2564835840 is an abundant number, since it is smaller than the sum of its proper divisors (8874432000).

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

2564835840 is an equidigital number, since it uses as much as digits as its factorization.

2564835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 2564835840 is about 50644.2083559414. The cubic root of 2564835840 is about 1368.8415874162.

The spelling of 2564835840 in words is "two billion, five hundred sixty-four million, eight hundred thirty-five thousand, eight hundred forty".