2564774652 has 48 divisors (see below), whose sum is σ = 6579965952. Its totient is φ = 771079680.

The previous prime is 2564774647. The next prime is 2564774659.

2564774652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2564774652² = 13156138031083442208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564774659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59733 + ... + 93260.

It is an arithmetic number, because the mean of its divisors is an integer number (137082624).

Almost surely, 2^2564774652 is an apocalyptic number.

2564774652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2564774652 is an abundant number, since it is smaller than the sum of its proper divisors (4015191300).

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

2564774652 is a wasteful number, since it uses less digits than its factorization.

2564774652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153138 (or 153136 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The square root of 2564774652 is about 50643.6042556215. The cubic root of 2564774652 is about 1368.8307020743.

The spelling of 2564774652 in words is "two billion, five hundred sixty-four million, seven hundred seventy-four thousand, six hundred fifty-two".