2672144640 has 648 divisors, whose sum is σ = 10687045824. Its totient is φ = 638668800.

The previous prime is 2672144639. The next prime is 2672144663. The reversal of 2672144640 is 464412762.

2672144640 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 = 2672144595 and 2672144604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37635805 + ... + 37635875.

Almost surely, 2^2672144640 is an apocalyptic number.

2672144640 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 2672144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343522912).

2672144640 is an abundant number, since it is smaller than the sum of its proper divisors (8014901184).

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

2672144640 is an equidigital number, since it uses as much as digits as its factorization.

2672144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2672144640 is about 51692.7909867517. The cubic root of 2672144640 is about 1387.6714528814.

The spelling of 2672144640 in words is "two billion, six hundred seventy-two million, one hundred forty-four thousand, six hundred forty".