2508382080 has 288 divisors, whose sum is σ = 9053848440. Its totient is φ = 663634944.

The previous prime is 2508382069. The next prime is 2508382099. The reversal of 2508382080 is 802838052.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19750977 + ... + 19751103.

Almost surely, 2^2508382080 is an apocalyptic number.

2508382080 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 2508382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526924220).

2508382080 is an abundant number, since it is smaller than the sum of its proper divisors (6545466360).

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

2508382080 is an frugal number, since it uses more digits than its factorization.

2508382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2508382080 is about 50083.7506582724. The cubic root of 2508382080 is about 1358.7239472626.

Multiplying 2508382080 by its product of nonzero digits (30720), we get a square (77057497497600 = 8778240²).

The spelling of 2508382080 in words is "two billion, five hundred eight million, three hundred eighty-two thousand, eighty".