2564246840 has 128 divisors (see below), whose sum is σ = 6325862400. Its totient is φ = 931875840.

The previous prime is 2564246827. The next prime is 2564246843. The reversal of 2564246840 is 486424652.

2564246840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564246843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2991692 + ... + 2992548.

It is an arithmetic number, because the mean of its divisors is an integer number (49420800).

Almost surely, 2^2564246840 is an apocalyptic number.

2564246840 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 2564246840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162931200).

2564246840 is an abundant number, since it is smaller than the sum of its proper divisors (3761615560).

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

2564246840 is a wasteful number, since it uses less digits than its factorization.

2564246840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

The square root of 2564246840 is about 50638.3929444843. The cubic root of 2564246840 is about 1368.7367971593.

The spelling of 2564246840 in words is "two billion, five hundred sixty-four million, two hundred forty-six thousand, eight hundred forty".