2207864400 has 240 divisors, whose sum is σ = 8205617664. Its totient is φ = 496995840.

The previous prime is 2207864377. The next prime is 2207864401. The reversal of 2207864400 is 44687022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2207864401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560839 + ... + 564761.

Almost surely, 2^2207864400 is an apocalyptic number.

2207864400 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 2207864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102808832).

2207864400 is an abundant number, since it is smaller than the sum of its proper divisors (5997753264).

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

2207864400 is a wasteful number, since it uses less digits than its factorization.

2207864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2207864400 is about 46987.9175959097. The cubic root of 2207864400 is about 1302.1393571002.

The spelling of 2207864400 in words is "two billion, two hundred seven million, eight hundred sixty-four thousand, four hundred".