2114933760 has 176 divisors, whose sum is σ = 7516584000. Its totient is φ = 563945472.

The previous prime is 2114933759. The next prime is 2114933767. The reversal of 2114933760 is 673394112.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114933767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130591 + ... + 145889.

Almost surely, 2^2114933760 is an apocalyptic number.

2114933760 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 2114933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758292000).

2114933760 is an abundant number, since it is smaller than the sum of its proper divisors (5401650240).

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

2114933760 is a wasteful number, since it uses less digits than its factorization.

2114933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15333 (or 15309 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2114933760 is about 45988.4089744362. The cubic root of 2114933760 is about 1283.6075313732.

The spelling of 2114933760 in words is "two billion, one hundred fourteen million, nine hundred thirty-three thousand, seven hundred sixty".