2540482880 has 112 divisors (see below), whose sum is σ = 6545330064. Its totient is φ = 933642240.

The previous prime is 2540482849. The next prime is 2540482909. The reversal of 2540482880 is 882840452.

It can be written as a sum of positive squares in 8 ways, for example, as 154355776 + 2386127104 = 12424^2 + 48848^2 .

It is a congruent number.

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, 967970 + ... + 970590.

It is an arithmetic number, because the mean of its divisors is an integer number (58440447).

Almost surely, 2^2540482880 is an apocalyptic number.

2540482880 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 2540482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272665032).

2540482880 is an abundant number, since it is smaller than the sum of its proper divisors (4004847184).

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

2540482880 is a wasteful number, since it uses less digits than its factorization.

2540482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 41.

The square root of 2540482880 is about 50403.2030728207. The cubic root of 2540482880 is about 1364.4954469891.

The spelling of 2540482880 in words is "two billion, five hundred forty million, four hundred eighty-two thousand, eight hundred eighty".