2564208101 has 48 divisors (see below), whose sum is σ = 3364623360. Its totient is φ = 1910039040.

The previous prime is 2564208071. The next prime is 2564208131. The reversal of 2564208101 is 1018024652.

It is an interprime number because it is at equal distance from previous prime (2564208071) and next prime (2564208131).

It is not a de Polignac number, because 2564208101 - 2¹⁸ = 2563945957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564208131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1405676 + ... + 1407498.

It is an arithmetic number, because the mean of its divisors is an integer number (70096320).

Almost surely, 2^2564208101 is an apocalyptic number.

It is an amenable number.

2564208101 is a deficient number, since it is larger than the sum of its proper divisors (800415259).

2564208101 is a wasteful number, since it uses less digits than its factorization.

2564208101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2564208101 is about 50638.0104368250. The cubic root of 2564208101 is about 1368.7299044581.

The spelling of 2564208101 in words is "two billion, five hundred sixty-four million, two hundred eight thousand, one hundred one".