2643647040 has 168 divisors, whose sum is σ = 9339178680. Its totient is φ = 685891584.

The previous prime is 2643646987. The next prime is 2643647051. The reversal of 2643647040 is 407463462.

2643647040 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 647 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1263375936 + 1380271104 = 35544^2 + 37152^2 .

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 = 2643646986 and 2643647004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94156 + ... + 118964.

Almost surely, 2^2643647040 is an apocalyptic number.

2643647040 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 2643647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669589340).

2643647040 is an abundant number, since it is smaller than the sum of its proper divisors (6695531640).

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

2643647040 is a wasteful number, since it uses less digits than its factorization.

2643647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24869 (or 24856 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2643647040 is about 51416.4082759580. The cubic root of 2643647040 is about 1382.7207821998.

The spelling of 2643647040 in words is "two billion, six hundred forty-three million, six hundred forty-seven thousand, forty".