2292416640 has 160 divisors (see below), whose sum is σ = 8186818860. Its totient is φ = 611297280.

The previous prime is 2292416611. The next prime is 2292416669. The reversal of 2292416640 is 466142922.

2292416640 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 4 + 1 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2292416611) and next prime (2292416669).

It can be written as a sum of positive squares in 2 ways, for example, as 2130007104 + 162409536 = 46152^2 + 12744^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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 = 2292416595 and 2292416604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29730 + ... + 73950.

Almost surely, 2^2292416640 is an apocalyptic number.

2292416640 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 2292416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093409430).

2292416640 is an abundant number, since it is smaller than the sum of its proper divisors (5894402220).

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

2292416640 is an equidigital number, since it uses as much as digits as its factorization.

2292416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44252 (or 44231 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2292416640 is about 47879.1879630388. The cubic root of 2292416640 is about 1318.5537879877.

The spelling of 2292416640 in words is "two billion, two hundred ninety-two million, four hundred sixteen thousand, six hundred forty".