2643162144 has 48 divisors (see below), whose sum is σ = 7929488448. Its totient is φ = 755188992.

The previous prime is 2643162133. The next prime is 2643162161. The reversal of 2643162144 is 4412613462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2643162144² = 13972612238949353472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1965967 + ... + 1967310.

It is an arithmetic number, because the mean of its divisors is an integer number (165197676).

Almost surely, 2^2643162144 is an apocalyptic number.

2643162144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2643162144 is an abundant number, since it is smaller than the sum of its proper divisors (5286326304).

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

2643162144 is a wasteful number, since it uses less digits than its factorization.

2643162144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933297 (or 3933289 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 2643162144 is about 51411.6926778335. The cubic root of 2643162144 is about 1382.6362377853.

The spelling of 2643162144 in words is "two billion, six hundred forty-three million, one hundred sixty-two thousand, one hundred forty-four".