2638743660 has 144 divisors (see below), whose sum is σ = 9160447296. Its totient is φ = 602297856.

The previous prime is 2638743649. The next prime is 2638743691. The reversal of 2638743660 is 663478362.

2638743660 is a `hidden beast` number, since 2 + 638 + 7 + 4 + 3 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557774 + ... + 1559466.

Almost surely, 2^2638743660 is an apocalyptic number.

2638743660 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 2638743660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580223648).

2638743660 is an abundant number, since it is smaller than the sum of its proper divisors (6521703636).

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

2638743660 is a wasteful number, since it uses less digits than its factorization.

2638743660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 2638743660 is about 51368.7031177545. The cubic root of 2638743660 is about 1381.8653728034.

The spelling of 2638743660 in words is "two billion, six hundred thirty-eight million, seven hundred forty-three thousand, six hundred sixty".