2515776480 has 576 divisors, whose sum is σ = 10355724288. Its totient is φ = 544112640.

The previous prime is 2515776479. The next prime is 2515776499. The reversal of 2515776480 is 846775152.

2515776480 is a `hidden beast` number, since 2 + 51 + 57 + 76 + 480 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25935792 + ... + 25935888.

It is an arithmetic number, because the mean of its divisors is an integer number (17978688).

Almost surely, 2^2515776480 is an apocalyptic number.

2515776480 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 2515776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177862144).

2515776480 is an abundant number, since it is smaller than the sum of its proper divisors (7839947808).

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

2515776480 is a wasteful number, since it uses less digits than its factorization.

2515776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 2515776480 is about 50157.5166849397. The cubic root of 2515776480 is about 1360.0577541794.

The spelling of 2515776480 in words is "two billion, five hundred fifteen million, seven hundred seventy-six thousand, four hundred eighty".