2374116480 has 320 divisors, whose sum is σ = 8692964280. Its totient is φ = 617103360.

The previous prime is 2374116469. The next prime is 2374116491. The reversal of 2374116480 is 846114732.

2374116480 is a `hidden beast` number, since 2 + 3 + 7 + 4 + 1 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2374116469) and next prime (2374116491).

It can be written as a sum of positive squares in 4 ways, for example, as 624200256 + 1749916224 = 24984^2 + 41832^2 .

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2124882 + ... + 2125998.

Almost surely, 2^2374116480 is an apocalyptic number.

2374116480 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 2374116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346482140).

2374116480 is an abundant number, since it is smaller than the sum of its proper divisors (6318847800).

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

2374116480 is a wasteful number, since it uses less digits than its factorization.

2374116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1168 counting only the distinct ones).

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

The square root of 2374116480 is about 48724.9061569132. The cubic root of 2374116480 is about 1334.0353591938.

The spelling of 2374116480 in words is "two billion, three hundred seventy-four million, one hundred sixteen thousand, four hundred eighty".