2507975680 has 352 divisors, whose sum is σ = 7546060800. Its totient is φ = 780337152.

The previous prime is 2507975641. The next prime is 2507975681. The reversal of 2507975680 is 865797052.

It is a super-2 number, since 2×2507975680² = 12579884022942924800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507975681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19747777 + ... + 19747903.

Almost surely, 2^2507975680 is an apocalyptic number.

2507975680 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 2507975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773030400).

2507975680 is an abundant number, since it is smaller than the sum of its proper divisors (5038085120).

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

2507975680 is a wasteful number, since it uses less digits than its factorization.

2507975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The square root of 2507975680 is about 50079.6932897956. The cubic root of 2507975680 is about 1358.6505646042.

The spelling of 2507975680 in words is "two billion, five hundred seven million, nine hundred seventy-five thousand, six hundred eighty".