2211642400 has 72 divisors (see below), whose sum is σ = 5890029264. Its totient is φ = 804230400.

The previous prime is 2211642397. The next prime is 2211642401. The reversal of 2211642400 is 42461122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2211642401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116862 + ... + 134461.

It is an arithmetic number, because the mean of its divisors is an integer number (81805962).

Almost surely, 2^2211642400 is an apocalyptic number.

2211642400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211642400 is an abundant number, since it is smaller than the sum of its proper divisors (3678386864).

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

2211642400 is a wasteful number, since it uses less digits than its factorization.

2211642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251354 (or 251341 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2211642400 is about 47028.1022368541. The cubic root of 2211642400 is about 1302.8816549749.

It can be divided in two parts, 22116 and 42400, that added together give a square (64516 = 254²).

The spelling of 2211642400 in words is "two billion, two hundred eleven million, six hundred forty-two thousand, four hundred".