2121614208 has 640 divisors, whose sum is σ = 7962071040. Its totient is φ = 547430400.

The previous prime is 2121614203. The next prime is 2121614227. The reversal of 2121614208 is 8024161212.

2121614208 is a `hidden beast` number, since 2 + 1 + 21 + 614 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121614203) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51746668 + ... + 51746708.

It is an arithmetic number, because the mean of its divisors is an integer number (12440736).

Almost surely, 2^2121614208 is an apocalyptic number.

2121614208 is a gapful number since it is divisible by the number (28) 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 2121614208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981035520).

2121614208 is an abundant number, since it is smaller than the sum of its proper divisors (5840456832).

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

2121614208 is a wasteful number, since it uses less digits than its factorization.

2121614208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2121614208 is about 46060.9835761244. The cubic root of 2121614208 is about 1284.9576225887.

The spelling of 2121614208 in words is "two billion, one hundred twenty-one million, six hundred fourteen thousand, two hundred eight".