2149555968 has 360 divisors, whose sum is σ = 7479077760. Its totient is φ = 601344000.

The previous prime is 2149555963. The next prime is 2149555979. The reversal of 2149555968 is 8695559412.

2149555968 is a `hidden beast` number, since 2 + 1 + 49 + 5 + 5 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149555963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8563843 + ... + 8564093.

It is an arithmetic number, because the mean of its divisors is an integer number (20775216).

Almost surely, 2^2149555968 is an apocalyptic number.

2149555968 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 2149555968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739538880).

2149555968 is an abundant number, since it is smaller than the sum of its proper divisors (5329521792).

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

2149555968 is an equidigital number, since it uses as much as digits as its factorization.

2149555968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 322 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The square root of 2149555968 is about 46363.3041100394. The cubic root of 2149555968 is about 1290.5740225224.

The spelling of 2149555968 in words is "two billion, one hundred forty-nine million, five hundred fifty-five thousand, nine hundred sixty-eight".