2543915820 has 48 divisors (see below), whose sum is σ = 7125416928. Its totient is φ = 678144000.

The previous prime is 2543915813. The next prime is 2543915837. The reversal of 2543915820 is 285193452.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234762 + ... + 245358.

It is an arithmetic number, because the mean of its divisors is an integer number (148446186).

Almost surely, 2^2543915820 is an apocalyptic number.

2543915820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2543915820 is an abundant number, since it is smaller than the sum of its proper divisors (4581501108).

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

2543915820 is a wasteful number, since it uses less digits than its factorization.

2543915820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14610 (or 14608 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 2543915820 is about 50437.2463562396. The cubic root of 2543915820 is about 1365.1097819901.

The spelling of 2543915820 in words is "two billion, five hundred forty-three million, nine hundred fifteen thousand, eight hundred twenty".