2507768480 has 96 divisors (see below), whose sum is σ = 6791226624. Its totient is φ = 857235456.

The previous prime is 2507768443. The next prime is 2507768503. The reversal of 2507768480 is 848677052.

It is a super-3 number, since 3×2507768480³ (a number of 29 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 392189 + ... + 398531.

It is an arithmetic number, because the mean of its divisors is an integer number (70741944).

Almost surely, 2^2507768480 is an apocalyptic number.

2507768480 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 2507768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395613312).

2507768480 is an abundant number, since it is smaller than the sum of its proper divisors (4283458144).

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

2507768480 is a wasteful number, since it uses less digits than its factorization.

2507768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The square root of 2507768480 is about 50077.6245443012. The cubic root of 2507768480 is about 1358.6131479535.

The spelling of 2507768480 in words is "two billion, five hundred seven million, seven hundred sixty-eight thousand, four hundred eighty".