2567641380 has 72 divisors (see below), whose sum is σ = 7587764352. Its totient is φ = 648661824.

The previous prime is 2567641357. The next prime is 2567641403. The reversal of 2567641380 is 831467652.

It is an interprime number because it is at equal distance from previous prime (2567641357) and next prime (2567641403).

It is a hoax number, since the sum of its digits (42) 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 23 ways as a sum of consecutive naturals, for example, 37612 + ... + 80931.

It is an arithmetic number, because the mean of its divisors is an integer number (105385616).

Almost surely, 2^2567641380 is an apocalyptic number.

2567641380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2567641380 is an abundant number, since it is smaller than the sum of its proper divisors (5020122972).

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

2567641380 is a wasteful number, since it uses less digits than its factorization.

2567641380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118593 (or 118572 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2567641380 is about 50671.8993131302. The cubic root of 2567641380 is about 1369.3405069921.

The spelling of 2567641380 in words is "two billion, five hundred sixty-seven million, six hundred forty-one thousand, three hundred eighty".