2541880800 has 432 divisors, whose sum is σ = 9999203760. Its totient is φ = 603832320.

The previous prime is 2541880771. The next prime is 2541880807. The reversal of 2541880800 is 80881452.

It is a super-2 number, since 2×2541880800² = 12922316002817280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541880807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2325054 + ... + 2326146.

It is an arithmetic number, because the mean of its divisors is an integer number (23146305).

Almost surely, 2^2541880800 is an apocalyptic number.

2541880800 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 2541880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999601880).

2541880800 is an abundant number, since it is smaller than the sum of its proper divisors (7457322960).

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

2541880800 is a wasteful number, since it uses less digits than its factorization.

2541880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2541880800 is about 50417.0685383432. The cubic root of 2541880800 is about 1364.7456757591.

The spelling of 2541880800 in words is "two billion, five hundred forty-one million, eight hundred eighty thousand, eight hundred".