2121879600 has 180 divisors, whose sum is σ = 7408249056. Its totient is φ = 562398720.

The previous prime is 2121879593. The next prime is 2121879611. The reversal of 2121879600 is 69781212.

2121879600 is a `hidden beast` number, since 21 + 21 + 8 + 7 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 621097 + ... + 624503.

Almost surely, 2^2121879600 is an apocalyptic number.

2121879600 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 2121879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704124528).

2121879600 is an abundant number, since it is smaller than the sum of its proper divisors (5286369456).

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

2121879600 is a wasteful number, since it uses less digits than its factorization.

2121879600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2121879600 is about 46063.8643624262. The cubic root of 2121879600 is about 1285.0111986589.

It can be divided in two parts, 2121 and 879600, that added together give a square (881721 = 939²).

The spelling of 2121879600 in words is "two billion, one hundred twenty-one million, eight hundred seventy-nine thousand, six hundred".