2563311408 has 160 divisors (see below), whose sum is σ = 8039056896. Its totient is φ = 687058944.

The previous prime is 2563311407. The next prime is 2563311409. The reversal of 2563311408 is 8041133652.

It is an interprime number because it is at equal distance from previous prime (2563311407) and next prime (2563311409).

It is not an unprimeable number, because it can be changed into a prime (2563311407) 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, 2529910 + ... + 2530922.

Almost surely, 2^2563311408 is an apocalyptic number.

2563311408 is a gapful number since it is divisible by the number (28) 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 2563311408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019528448).

2563311408 is an abundant number, since it is smaller than the sum of its proper divisors (5475745488).

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

2563311408 is a wasteful number, since it uses less digits than its factorization.

2563311408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2563311408 is about 50629.1557109142. The cubic root of 2563311408 is about 1368.5703394556.

The spelling of 2563311408 in words is "two billion, five hundred sixty-three million, three hundred eleven thousand, four hundred eight".