2368413072 has 120 divisors (see below), whose sum is σ = 7038730296. Its totient is φ = 740855808.

The previous prime is 2368413071. The next prime is 2368413097. The reversal of 2368413072 is 2703148632.

It is a happy number.

2368413072 is a `hidden beast` number, since 236 + 8 + 413 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1448868096 + 919544976 = 38064^2 + 30324^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2368413071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970638 + ... + 973074.

Almost surely, 2^2368413072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2368413072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519365148).

2368413072 is an abundant number, since it is smaller than the sum of its proper divisors (4670317224).

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

2368413072 is a wasteful number, since it uses less digits than its factorization.

2368413072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2368413072 is about 48666.3443459646. The cubic root of 2368413072 is about 1332.9662388294.

The spelling of 2368413072 in words is "two billion, three hundred sixty-eight million, four hundred thirteen thousand, seventy-two".