2672663040 has 200 divisors, whose sum is σ = 9573377220. Its totient is φ = 712654848.

The previous prime is 2672663029. The next prime is 2672663051. The reversal of 2672663040 is 403662762.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2672663029) and next prime (2672663051).

It can be written as a sum of positive squares in 2 ways, for example, as 2672476416 + 186624 = 51696^2 + 432^2 .

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 = 2672662986 and 2672663004.

It is a congruent number.

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, 200916 + ... + 213804.

Almost surely, 2^2672663040 is an apocalyptic number.

2672663040 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 2672663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786688610).

2672663040 is an abundant number, since it is smaller than the sum of its proper divisors (6900714180).

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

2672663040 is an equidigital number, since it uses as much as digits as its factorization.

2672663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12924 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2672663040 is about 51697.8049824168. The cubic root of 2672663040 is about 1387.7611838483.

The spelling of 2672663040 in words is "two billion, six hundred seventy-two million, six hundred sixty-three thousand, forty".