2386120464 has 720 divisors, whose sum is σ = 9312796800. Its totient is φ = 581188608.

The previous prime is 2386120433. The next prime is 2386120481. The reversal of 2386120464 is 4640216832.

2386120464 is a `hidden beast` number, since 2 + 38 + 612 + 0 + 4 + 6 + 4 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82280002 + ... + 82280030.

It is an arithmetic number, because the mean of its divisors is an integer number (12934440).

Almost surely, 2^2386120464 is an apocalyptic number.

2386120464 is a gapful number since it is divisible by the number (24) 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 2386120464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656398400).

2386120464 is an abundant number, since it is smaller than the sum of its proper divisors (6926676336).

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

2386120464 is a wasteful number, since it uses less digits than its factorization.

2386120464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2386120464 is about 48847.9320340176. The cubic root of 2386120464 is about 1336.2799591391.

The spelling of 2386120464 in words is "two billion, three hundred eighty-six million, one hundred twenty thousand, four hundred sixty-four".