2564761620 has 24 divisors (see below), whose sum is σ = 7181332704. Its totient is φ = 683936416.

The previous prime is 2564761609. The next prime is 2564761631. The reversal of 2564761620 is 261674652.

It is an interprime number because it is at equal distance from previous prime (2564761609) and next prime (2564761631).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21372954 + ... + 21373073.

It is an arithmetic number, because the mean of its divisors is an integer number (299222196).

Almost surely, 2^2564761620 is an apocalyptic number.

2564761620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564761620 is an abundant number, since it is smaller than the sum of its proper divisors (4616571084).

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

2564761620 is a wasteful number, since it uses less digits than its factorization.

2564761620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42746039 (or 42746037 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2564761620 is about 50643.4755916298. The cubic root of 2564761620 is about 1368.8283836599.

The spelling of 2564761620 in words is "two billion, five hundred sixty-four million, seven hundred sixty-one thousand, six hundred twenty".