2540908800 has 324 divisors, whose sum is σ = 9383954944. Its totient is φ = 655257600.

The previous prime is 2540908781. The next prime is 2540908849. The reversal of 2540908800 is 88090452.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1784889 + ... + 1786311.

Almost surely, 2^2540908800 is an apocalyptic number.

2540908800 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 2540908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691977472).

2540908800 is an abundant number, since it is smaller than the sum of its proper divisors (6843046144).

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

2540908800 is a wasteful number, since it uses less digits than its factorization.

2540908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2540908800 is about 50407.4280240522. The cubic root of 2540908800 is about 1364.5716967224.

The spelling of 2540908800 in words is "two billion, five hundred forty million, nine hundred eight thousand, eight hundred".