2643969440 has 216 divisors, whose sum is σ = 7544159532. Its totient is φ = 873062400.

The previous prime is 2643969437. The next prime is 2643969481. The reversal of 2643969440 is 449693462.

2643969440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2060070544 + 583898896 = 45388^2 + 24164^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6593240 + ... + 6593640.

Almost surely, 2^2643969440 is an apocalyptic number.

2643969440 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 2643969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772079766).

2643969440 is an abundant number, since it is smaller than the sum of its proper divisors (4900190092).

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

2643969440 is a wasteful number, since it uses less digits than its factorization.

2643969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The square root of 2643969440 is about 51419.5433663116. The cubic root of 2643969440 is about 1382.7769887777.

The spelling of 2643969440 in words is "two billion, six hundred forty-three million, nine hundred sixty-nine thousand, four hundred forty".