2314617480 has 192 divisors, whose sum is σ = 8874777600. Its totient is φ = 511971840.

The previous prime is 2314617479. The next prime is 2314617491. The reversal of 2314617480 is 847164132.

2314617480 is a `hidden beast` number, since 2 + 31 + 4 + 617 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63306 + ... + 92934.

It is an arithmetic number, because the mean of its divisors is an integer number (46222800).

Almost surely, 2^2314617480 is an apocalyptic number.

2314617480 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 2314617480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437388800).

2314617480 is an abundant number, since it is smaller than the sum of its proper divisors (6560160120).

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

2314617480 is a wasteful number, since it uses less digits than its factorization.

2314617480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29684 (or 29677 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2314617480 is about 48110.4716252086. The cubic root of 2314617480 is about 1322.7966189662.

The spelling of 2314617480 in words is "two billion, three hundred fourteen million, six hundred seventeen thousand, four hundred eighty".