2398412016 has 360 divisors, whose sum is σ = 9177006384. Its totient is φ = 574801920.

The previous prime is 2398411993. The next prime is 2398412017. The reversal of 2398412016 is 6102148932.

2398412016 is a `hidden beast` number, since 239 + 8 + 412 + 0 + 1 + 6 = 666.

It is a super-3 number, since 3×2398412016³ (a number of 29 digits) contains 333 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 (2398412017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1007820 + ... + 1010196.

Almost surely, 2^2398412016 is an apocalyptic number.

2398412016 is a gapful number since it is divisible by the number (26) 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 2398412016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588503192).

2398412016 is an abundant number, since it is smaller than the sum of its proper divisors (6778594368).

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

2398412016 is a wasteful number, since it uses less digits than its factorization.

2398412016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2413 counting only the distinct ones).

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

The square root of 2398412016 is about 48973.5848800147. The cubic root of 2398412016 is about 1338.5705436757.

It can be divided in two parts, 2398 and 412016, that added together give a palindrome (414414).

The spelling of 2398412016 in words is "two billion, three hundred ninety-eight million, four hundred twelve thousand, sixteen".