2402313984 has 432 divisors, whose sum is σ = 8514404640. Its totient is φ = 665763840.

The previous prime is 2402313983. The next prime is 2402314007. The reversal of 2402313984 is 4893132042.

2402313984 is a `hidden beast` number, since 240 + 23 + 1 + 398 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2402313984² = 11542224955443904512, which contains 22 as substring.

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 (2402313983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13886122 + ... + 13886294.

It is an arithmetic number, because the mean of its divisors is an integer number (19709270).

Almost surely, 2^2402313984 is an apocalyptic number.

2402313984 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 2402313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257202320).

2402313984 is an abundant number, since it is smaller than the sum of its proper divisors (6112090656).

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

2402313984 is a wasteful number, since it uses less digits than its factorization.

2402313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2402313984 is about 49013.4061660685. The cubic root of 2402313984 is about 1339.2960555965.

The spelling of 2402313984 in words is "two billion, four hundred two million, three hundred thirteen thousand, nine hundred eighty-four".