2575244880 has 160 divisors (see below), whose sum is σ = 9552721920. Its totient is φ = 633899520.

The previous prime is 2575244879. The next prime is 2575244899. The reversal of 2575244880 is 884425752.

2575244880 is a `hidden beast` number, since 2 + 5 + 7 + 524 + 48 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17776 + ... + 73935.

It is an arithmetic number, because the mean of its divisors is an integer number (59704512).

Almost surely, 2^2575244880 is an apocalyptic number.

2575244880 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 2575244880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776360960).

2575244880 is an abundant number, since it is smaller than the sum of its proper divisors (6977477040).

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

2575244880 is a wasteful number, since it uses less digits than its factorization.

2575244880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91746 (or 91734 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2575244880 is about 50746.8706424347. The cubic root of 2575244880 is about 1370.6908409481.

The spelling of 2575244880 in words is "two billion, five hundred seventy-five million, two hundred forty-four thousand, eight hundred eighty".