2261615040 has 112 divisors (see below), whose sum is σ = 7978505760. Its totient is φ = 603095040.

The previous prime is 2261615039. The next prime is 2261615051. The reversal of 2261615040 is 405161622.

2261615040 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 615 + 0 + 40 = 666.

It is a super-2 number, since 2×2261615040² = 10229805178308403200, which contains 22 as substring.

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 = 2261614995 and 2261615013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122241 + ... + 139520.

Almost surely, 2^2261615040 is an apocalyptic number.

2261615040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261615040 is an abundant number, since it is smaller than the sum of its proper divisors (5716890720).

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

2261615040 is a wasteful number, since it uses less digits than its factorization.

2261615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261787 (or 261771 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2261615040 is about 47556.4405732809. The cubic root of 2261615040 is about 1312.6216442357.

Adding to 2261615040 its reverse (405161622), we get a palindrome (2666776662).

The spelling of 2261615040 in words is "two billion, two hundred sixty-one million, six hundred fifteen thousand, forty".