2564553628 has 48 divisors (see below), whose sum is σ = 5529504960. Its totient is φ = 1013474304.

The previous prime is 2564553587. The next prime is 2564553631. The reversal of 2564553628 is 8263554652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400500 + ... + 406852.

It is an arithmetic number, because the mean of its divisors is an integer number (115198020).

Almost surely, 2^2564553628 is an apocalyptic number.

2564553628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2564553628 is an abundant number, since it is smaller than the sum of its proper divisors (2964951332).

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

2564553628 is a wasteful number, since it uses less digits than its factorization.

2564553628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7484 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 46.

The square root of 2564553628 is about 50641.4220574423. The cubic root of 2564553628 is about 1368.7913804744.

The spelling of 2564553628 in words is "two billion, five hundred sixty-four million, five hundred fifty-three thousand, six hundred twenty-eight".