2542655610 has 160 divisors (see below), whose sum is σ = 7516504512. Its totient is φ = 611608320.

The previous prime is 2542655597. The next prime is 2542655641. The reversal of 2542655610 is 165562452.

2542655610 is a `hidden beast` number, since 2 + 542 + 6 + 55 + 61 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1219629 + ... + 1221711.

Almost surely, 2^2542655610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542655610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758252256).

2542655610 is an abundant number, since it is smaller than the sum of its proper divisors (4973848902).

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

2542655610 is a wasteful number, since it uses less digits than its factorization.

2542655610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2542655610 is about 50424.7519577439. The cubic root of 2542655610 is about 1364.8843278384.

The spelling of 2542655610 in words is "two billion, five hundred forty-two million, six hundred fifty-five thousand, six hundred ten".