2247641136 has 240 divisors, whose sum is σ = 7149993760. Its totient is φ = 680244480.

The previous prime is 2247641101. The next prime is 2247641141. The reversal of 2247641136 is 6311467422.

2247641136 is a `hidden beast` number, since 2 + 2 + 4 + 7 + 641 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2247641136.

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, 36846546 + ... + 36846606.

Almost surely, 2^2247641136 is an apocalyptic number.

2247641136 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 2247641136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574996880).

2247641136 is an abundant number, since it is smaller than the sum of its proper divisors (4902352624).

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

2247641136 is an frugal number, since it uses more digits than its factorization.

2247641136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 79 counting only the distinct ones).

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

The square root of 2247641136 is about 47409.2937724240. The cubic root of 2247641136 is about 1309.9126130935.

The spelling of 2247641136 in words is "two billion, two hundred forty-seven million, six hundred forty-one thousand, one hundred thirty-six".