2506412160 has 320 divisors, whose sum is σ = 10231024320. Its totient is φ = 572811264.

The previous prime is 2506412159. The next prime is 2506412239. The reversal of 2506412160 is 612146052.

2506412160 is a `hidden beast` number, since 2 + 5 + 0 + 641 + 2 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 359427 + ... + 366333.

It is an arithmetic number, because the mean of its divisors is an integer number (31971951).

Almost surely, 2^2506412160 is an apocalyptic number.

2506412160 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 2506412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115512160).

2506412160 is an abundant number, since it is smaller than the sum of its proper divisors (7724612160).

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

2506412160 is an equidigital number, since it uses as much as digits as its factorization.

2506412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2506412160 is about 50064.0805368480. The cubic root of 2506412160 is about 1358.3681696646.

The spelling of 2506412160 in words is "two billion, five hundred six million, four hundred twelve thousand, one hundred sixty".