2642266600 has 48 divisors (see below), whose sum is σ = 6169744620. Its totient is φ = 1052352000.

The previous prime is 2642266553. The next prime is 2642266631. The reversal of 2642266600 is 66622462.

It can be written as a sum of positive squares in 6 ways, for example, as 737991556 + 1904275044 = 27166^2 + 43638^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18250 + ... + 74950.

Almost surely, 2^2642266600 is an apocalyptic number.

2642266600 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 2642266600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084872310).

2642266600 is an abundant number, since it is smaller than the sum of its proper divisors (3527478020).

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

2642266600 is a wasteful number, since it uses less digits than its factorization.

2642266600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56950 (or 56941 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 2642266600 is about 51402.9824037477. The cubic root of 2642266600 is about 1382.4800673365.

The spelling of 2642266600 in words is "two billion, six hundred forty-two million, two hundred sixty-six thousand, six hundred".