2247870240 has 864 divisors, whose sum is σ = 10247852160. Its totient is φ = 437944320.

The previous prime is 2247870227. The next prime is 2247870257. The reversal of 2247870240 is 420787422.

2247870240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2247870195 and 2247870204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23173872 + ... + 23173968.

It is an arithmetic number, because the mean of its divisors is an integer number (11860940).

Almost surely, 2^2247870240 is an apocalyptic number.

2247870240 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 2247870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123926080).

2247870240 is an abundant number, since it is smaller than the sum of its proper divisors (7999981920).

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

2247870240 is a wasteful number, since it uses less digits than its factorization.

2247870240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2247870240 is about 47411.7099459617. The cubic root of 2247870240 is about 1309.9571184223.

The spelling of 2247870240 in words is "two billion, two hundred forty-seven million, eight hundred seventy thousand, two hundred forty".