2302655040 has 700 divisors, whose sum is σ = 9813796476. Its totient is φ = 512096256.

The previous prime is 2302655039. The next prime is 2302655041. The reversal of 2302655040 is 405562032.

2302655040 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 655 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2302655039) and next prime (2302655041).

It can be written as a sum of positive squares in 2 ways, for example, as 1506060864 + 796594176 = 38808^2 + 28224^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2302654995 and 2302655013.

It is not an unprimeable number, because it can be changed into a prime (2302655041) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 62233902 + ... + 62233938.

Almost surely, 2^2302655040 is an apocalyptic number.

2302655040 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 2302655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906898238).

2302655040 is an abundant number, since it is smaller than the sum of its proper divisors (7511141436).

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

2302655040 is an frugal number, since it uses more digits than its factorization.

2302655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2302655040 is about 47985.9879548186. The cubic root of 2302655040 is about 1320.5138495295.

The spelling of 2302655040 in words is "two billion, three hundred two million, six hundred fifty-five thousand, forty".