2643122456 has 64 divisors (see below), whose sum is σ = 5465940480. Its totient is φ = 1190597760.

The previous prime is 2643122431. The next prime is 2643122477. The reversal of 2643122456 is 6542213462.

It is a super-2 number, since 2×2643122456² = 13972192634822943872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2790575 + ... + 2791521.

It is an arithmetic number, because the mean of its divisors is an integer number (85405320).

Almost surely, 2^2643122456 is an apocalyptic number.

2643122456 is a gapful number since it is divisible by the number (26) 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 2643122456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732970240).

2643122456 is an abundant number, since it is smaller than the sum of its proper divisors (2822818024).

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

2643122456 is a wasteful number, since it uses less digits than its factorization.

2643122456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1580 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 2643122456 is about 51411.3066941505. The cubic root of 2643122456 is about 1382.6293174958.

The spelling of 2643122456 in words is "two billion, six hundred forty-three million, one hundred twenty-two thousand, four hundred fifty-six".