2515145472 has 288 divisors, whose sum is σ = 8574988800. Its totient is φ = 712323072.

The previous prime is 2515145471. The next prime is 2515145483. The reversal of 2515145472 is 2745415152.

2515145472 is a `hidden beast` number, since 25 + 1 + 514 + 54 + 72 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2515145471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10983054 + ... + 10983282.

Almost surely, 2^2515145472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2515145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287494400).

2515145472 is an abundant number, since it is smaller than the sum of its proper divisors (6059843328).

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

2515145472 is a wasteful number, since it uses less digits than its factorization.

2515145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 2515145472 is about 50151.2260268879. The cubic root of 2515145472 is about 1359.9440346059.

The spelling of 2515145472 in words is "two billion, five hundred fifteen million, one hundred forty-five thousand, four hundred seventy-two".