2114640000 has 640 divisors, whose sum is σ = 8603496000. Its totient is φ = 506880000.

The previous prime is 2114639993. The next prime is 2114640019. The reversal of 2114640000 is 464112.

2114640000 is a `hidden beast` number, since 21 + 1 + 4 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 23759956 + ... + 23760044.

Almost surely, 2^2114640000 is an apocalyptic number.

2114640000 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 2114640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301748000).

2114640000 is an abundant number, since it is smaller than the sum of its proper divisors (6488856000).

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

2114640000 is an equidigital number, since it uses as much as digits as its factorization.

2114640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2114640000 is about 45985.2150152633. The cubic root of 2114640000 is about 1283.5480984624.

The spelling of 2114640000 in words is "two billion, one hundred fourteen million, six hundred forty thousand".