2642236800 has 576 divisors, whose sum is σ = 10446362640. Its totient is φ = 584908800.

The previous prime is 2642236799. The next prime is 2642236801. The reversal of 2642236800 is 86322462.

2642236800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2642236799) and next prime (2642236801).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642236801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19286332 + ... + 19286468.

Almost surely, 2^2642236800 is an apocalyptic number.

2642236800 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 2642236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223181320).

2642236800 is an abundant number, since it is smaller than the sum of its proper divisors (7804125840).

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

2642236800 is a wasteful number, since it uses less digits than its factorization.

2642236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

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

The square root of 2642236800 is about 51402.6925364810. The cubic root of 2642236800 is about 1382.4748700234.

The spelling of 2642236800 in words is "two billion, six hundred forty-two million, two hundred thirty-six thousand, eight hundred".