2401114072 has 72 divisors (see below), whose sum is σ = 5475197700. Its totient is φ = 984222624.

The previous prime is 2401114063. The next prime is 2401114081. The reversal of 2401114072 is 2704111042.

It is an interprime number because it is at equal distance from previous prime (2401114063) and next prime (2401114081).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 201579 + ... + 213157.

Almost surely, 2^2401114072 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 2401114072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737598850).

2401114072 is an abundant number, since it is smaller than the sum of its proper divisors (3074083628).

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

2401114072 is a wasteful number, since it uses less digits than its factorization.

2401114072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11645 (or 11611 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2401114072 is about 49001.1639861749. The cubic root of 2401114072 is about 1339.0730338134.

It can be divided in two parts, 24011 and 14072, that added together give a palindrome (38083).

The spelling of 2401114072 in words is "two billion, four hundred one million, one hundred fourteen thousand, seventy-two".