2520882000 has 1120 divisors, whose sum is σ = 11840075520. Its totient is φ = 503884800.

The previous prime is 2520881977. The next prime is 2520882017. The reversal of 2520882000 is 2880252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 132677991 + ... + 132678009.

It is an arithmetic number, because the mean of its divisors is an integer number (10571496).

Almost surely, 2^2520882000 is an apocalyptic number.

2520882000 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 2520882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920037760).

2520882000 is an abundant number, since it is smaller than the sum of its proper divisors (9319193520).

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

2520882000 is a wasteful number, since it uses less digits than its factorization.

2520882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2520882000 is about 50208.3857537762. The cubic root of 2520882000 is about 1360.9771668214.

The spelling of 2520882000 in words is "two billion, five hundred twenty million, eight hundred eighty-two thousand".