2543880864 has 144 divisors (see below), whose sum is σ = 7791033600. Its totient is φ = 724663296.

The previous prime is 2543880851. The next prime is 2543880881. The reversal of 2543880864 is 4680883452.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2252652 + ... + 2253780.

It is an arithmetic number, because the mean of its divisors is an integer number (54104400).

Almost surely, 2^2543880864 is an apocalyptic number.

2543880864 is a gapful number since it is divisible by the number (24) 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 2543880864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895516800).

2543880864 is an abundant number, since it is smaller than the sum of its proper divisors (5247152736).

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

2543880864 is a wasteful number, since it uses less digits than its factorization.

2543880864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 2543880864 is about 50436.8998254254. The cubic root of 2543880864 is about 1365.1035292942.

The spelling of 2543880864 in words is "two billion, five hundred forty-three million, eight hundred eighty thousand, eight hundred sixty-four".