2515322880 has 432 divisors, whose sum is σ = 10159154460. Its totient is φ = 573898752.

The previous prime is 2515322867. The next prime is 2515322881. The reversal of 2515322880 is 882235152.

2515322880 is a `hidden beast` number, since 25 + 1 + 532 + 28 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2276434944 + 238887936 = 47712^2 + 15456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2515322881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515562 + ... + 4516118.

Almost surely, 2^2515322880 is an apocalyptic number.

2515322880 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 2515322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079577230).

2515322880 is an abundant number, since it is smaller than the sum of its proper divisors (7643831580).

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

2515322880 is a wasteful number, since it uses less digits than its factorization.

2515322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2515322880 is about 50152.9947261377. The cubic root of 2515322880 is about 1359.9760088040.

The spelling of 2515322880 in words is "two billion, five hundred fifteen million, three hundred twenty-two thousand, eight hundred eighty".