2415056160 has 96 divisors (see below), whose sum is σ = 8299029312. Its totient is φ = 585466880.

The previous prime is 2415056117. The next prime is 2415056167. The reversal of 2415056160 is 616505142.

2415056160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2415056160³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2415056167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223419 + ... + 233978.

It is an arithmetic number, because the mean of its divisors is an integer number (86448222).

Almost surely, 2^2415056160 is an apocalyptic number.

2415056160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2415056160 is an abundant number, since it is smaller than the sum of its proper divisors (5883973152).

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

2415056160 is a wasteful number, since it uses less digits than its factorization.

2415056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457426 (or 457418 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2415056160 is about 49143.2208956637. The cubic root of 2415056160 is about 1341.6598129523.

The spelling of 2415056160 in words is "two billion, four hundred fifteen million, fifty-six thousand, one hundred sixty".