2114752680 has 96 divisors (see below), whose sum is σ = 6880217760. Its totient is φ = 563337600.

The previous prime is 2114752663. The next prime is 2114752681. The reversal of 2114752680 is 862574112.

2114752680 is a `hidden beast` number, since 2 + 11 + 47 + 526 + 80 = 666.

It is a super-3 number, since 3×2114752680³ (a number of 29 digits) contains 333 as substring.

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 (2114752681) 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 23 ways as a sum of consecutive naturals, for example, 416155 + ... + 421205.

It is an arithmetic number, because the mean of its divisors is an integer number (71668935).

Almost surely, 2^2114752680 is an apocalyptic number.

2114752680 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 2114752680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440108880).

2114752680 is an abundant number, since it is smaller than the sum of its proper divisors (4765465080).

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

2114752680 is a wasteful number, since it uses less digits than its factorization.

2114752680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6231 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2114752680 is about 45986.4401753386. The cubic root of 2114752680 is about 1283.5708962958.

The spelling of 2114752680 in words is "two billion, one hundred fourteen million, seven hundred fifty-two thousand, six hundred eighty".