2543920100 has 72 divisors (see below), whose sum is σ = 5580767808. Its totient is φ = 1006499200.

The previous prime is 2543920031. The next prime is 2543920121. The reversal of 2543920100 is 10293452.

It is a self number, because there is not a number n which added to its sum of digits gives 2543920100.

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, 5180855 + ... + 5181345.

It is an arithmetic number, because the mean of its divisors is an integer number (77510664).

Almost surely, 2^2543920100 is an apocalyptic number.

2543920100 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 2543920100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790383904).

2543920100 is an abundant number, since it is smaller than the sum of its proper divisors (3036847708).

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

2543920100 is a wasteful number, since it uses less digits than its factorization.

2543920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2543920100 is about 50437.2887851835. The cubic root of 2543920100 is about 1365.1105475640.

The spelling of 2543920100 in words is "two billion, five hundred forty-three million, nine hundred twenty thousand, one hundred".