2661630240 has 96 divisors (see below), whose sum is σ = 8654639616. Its totient is φ = 686868480.

The previous prime is 2661630233. The next prime is 2661630247. The reversal of 2661630240 is 420361662.

It is an interprime number because it is at equal distance from previous prime (2661630233) and next prime (2661630247).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2661630198 and 2661630207.

It is not an unprimeable number, because it can be changed into a prime (2661630247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74557 + ... + 104316.

It is an arithmetic number, because the mean of its divisors is an integer number (90152496).

Almost surely, 2^2661630240 is an apocalyptic number.

2661630240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2661630240 is an abundant number, since it is smaller than the sum of its proper divisors (5993009376).

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

2661630240 is a wasteful number, since it uses less digits than its factorization.

2661630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178922 (or 178914 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2661630240 is about 51590.9899110300. The cubic root of 2661630240 is about 1385.8489827109.

The spelling of 2661630240 in words is "two billion, six hundred sixty-one million, six hundred thirty thousand, two hundred forty".