2412891360 has 576 divisors, whose sum is σ = 9680186880. Its totient is φ = 541347840.

The previous prime is 2412891359. The next prime is 2412891361. The reversal of 2412891360 is 631982142.

2412891360 is a `hidden beast` number, since 241 + 289 + 136 + 0 = 666.

2412891360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2412891359) and next prime (2412891361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412891361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13479751 + ... + 13479929.

It is an arithmetic number, because the mean of its divisors is an integer number (16805880).

Almost surely, 2^2412891360 is an apocalyptic number.

2412891360 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 2412891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840093440).

2412891360 is an abundant number, since it is smaller than the sum of its proper divisors (7267295520).

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

2412891360 is a wasteful number, since it uses less digits than its factorization.

2412891360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2412891360 is about 49121.1905393182. The cubic root of 2412891360 is about 1341.2588155948.

The spelling of 2412891360 in words is "two billion, four hundred twelve million, eight hundred ninety-one thousand, three hundred sixty".