2239245120 has 336 divisors, whose sum is σ = 8347667328. Its totient is φ = 507064320.

The previous prime is 2239245101. The next prime is 2239245139. The reversal of 2239245120 is 215429322.

It is an interprime number because it is at equal distance from previous prime (2239245101) and next prime (2239245139).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8514109 + ... + 8514371.

It is an arithmetic number, because the mean of its divisors is an integer number (24844248).

Almost surely, 2^2239245120 is an apocalyptic number.

2239245120 is a gapful number since it is divisible by the number (20) 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 2239245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173833664).

2239245120 is an abundant number, since it is smaller than the sum of its proper divisors (6108422208).

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

2239245120 is a wasteful number, since it uses less digits than its factorization.

2239245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2239245120 is about 47320.6627172528. The cubic root of 2239245120 is about 1308.2795276487.

The spelling of 2239245120 in words is "two billion, two hundred thirty-nine million, two hundred forty-five thousand, one hundred twenty".