2079218400 has 288 divisors, whose sum is σ = 8072483328. Its totient is φ = 454502400.

The previous prime is 2079218387. The next prime is 2079218413. The reversal of 2079218400 is 48129702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2079218387) and next prime (2079218413).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 383710 + ... + 389090.

It is an arithmetic number, because the mean of its divisors is an integer number (28029456).

Almost surely, 2^2079218400 is an apocalyptic number.

2079218400 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 2079218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036241664).

2079218400 is an abundant number, since it is smaller than the sum of its proper divisors (5993264928).

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

2079218400 is a wasteful number, since it uses less digits than its factorization.

2079218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2079218400 is about 45598.4473419874. The cubic root of 2079218400 is about 1276.3409498252.

The spelling of 2079218400 in words is "two billion, seventy-nine million, two hundred eighteen thousand, four hundred".