2642273200 has 120 divisors (see below), whose sum is σ = 7276261472. Its totient is φ = 903260160.

The previous prime is 2642273197. The next prime is 2642273233. The reversal of 2642273200 is 23722462.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 1110412 + ... + 1112788.

Almost surely, 2^2642273200 is an apocalyptic number.

2642273200 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 2642273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638130736).

2642273200 is an abundant number, since it is smaller than the sum of its proper divisors (4633988272).

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

2642273200 is a wasteful number, since it uses less digits than its factorization.

2642273200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2642273200 is about 51403.0466023173. The cubic root of 2642273200 is about 1382.4812184140.

Adding to 2642273200 its reverse (23722462), we get a palindrome (2665995662).

The spelling of 2642273200 in words is "two billion, six hundred forty-two million, two hundred seventy-three thousand, two hundred".