2121256368 has 240 divisors, whose sum is σ = 7791763200. Its totient is φ = 521925120.

The previous prime is 2121256367. The next prime is 2121256373. The reversal of 2121256368 is 8636521212.

2121256368 is a `hidden beast` number, since 2 + 1 + 2 + 12 + 5 + 636 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2121256363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205638 + ... + 215706.

It is an arithmetic number, because the mean of its divisors is an integer number (32465680).

Almost surely, 2^2121256368 is an apocalyptic number.

2121256368 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 2121256368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895881600).

2121256368 is an abundant number, since it is smaller than the sum of its proper divisors (5670506832).

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

2121256368 is a wasteful number, since it uses less digits than its factorization.

2121256368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120 (or 10111 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2121256368 is about 46057.0989967888. The cubic root of 2121256368 is about 1284.8853764836.

The spelling of 2121256368 in words is "two billion, one hundred twenty-one million, two hundred fifty-six thousand, three hundred sixty-eight".