2513372160 has 352 divisors, whose sum is σ = 8897277312. Its totient is φ = 601620480.

The previous prime is 2513372137. The next prime is 2513372171. The reversal of 2513372160 is 612733152.

It is a super-3 number, since 3×2513372160³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8186727 + ... + 8187033.

It is an arithmetic number, because the mean of its divisors is an integer number (25276356).

Almost surely, 2^2513372160 is an apocalyptic number.

2513372160 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 2513372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448638656).

2513372160 is an abundant number, since it is smaller than the sum of its proper divisors (6383905152).

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

2513372160 is a wasteful number, since it uses less digits than its factorization.

2513372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2513372160 is about 50133.5432619718. The cubic root of 2513372160 is about 1359.6243483830.

The spelling of 2513372160 in words is "two billion, five hundred thirteen million, three hundred seventy-two thousand, one hundred sixty".