2642595840 has 416 divisors, whose sum is σ = 9671932800. Its totient is φ = 692748288.

The previous prime is 2642595827. The next prime is 2642595869. The reversal of 2642595840 is 485952462.

2642595840 is a `hidden beast` number, since 2 + 64 + 2 + 5 + 9 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44789731 + ... + 44789789.

Almost surely, 2^2642595840 is an apocalyptic number.

2642595840 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 2642595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835966400).

2642595840 is an abundant number, since it is smaller than the sum of its proper divisors (7029336960).

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

2642595840 is an frugal number, since it uses more digits than its factorization.

2642595840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2642595840 is about 51406.1848419040. The cubic root of 2642595840 is about 1382.5374863259.

It can be divided in two parts, 26425 and 95840, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 2642595840 in words is "two billion, six hundred forty-two million, five hundred ninety-five thousand, eight hundred forty".