2564149600 has 72 divisors (see below), whose sum is σ = 6280098048. Its totient is φ = 1022323200.

The previous prime is 2564149583. The next prime is 2564149603. The reversal of 2564149600 is 69414652.

It is a self number, because there is not a number n which added to its sum of digits gives 2564149600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564149603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248545 + ... + 258655.

It is an arithmetic number, because the mean of its divisors is an integer number (87223584).

Almost surely, 2^2564149600 is an apocalyptic number.

2564149600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140049024).

2564149600 is an abundant number, since it is smaller than the sum of its proper divisors (3715948448).

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

2564149600 is a wasteful number, since it uses less digits than its factorization.

2564149600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10448 (or 10435 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2564149600 is about 50637.4327943272. The cubic root of 2564149600 is about 1368.7194954385.

The spelling of 2564149600 in words is "two billion, five hundred sixty-four million, one hundred forty-nine thousand, six hundred".