2114896080 has 240 divisors, whose sum is σ = 7587639360. Its totient is φ = 485591040.

The previous prime is 2114896057. The next prime is 2114896127. The reversal of 2114896080 is 806984112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549844 + ... + 553676.

It is an arithmetic number, because the mean of its divisors is an integer number (31615164).

Almost surely, 2^2114896080 is an apocalyptic number.

2114896080 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 2114896080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793819680).

2114896080 is an abundant number, since it is smaller than the sum of its proper divisors (5472743280).

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

2114896080 is a wasteful number, since it uses less digits than its factorization.

2114896080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 2114896080 is about 45987.9993041663. Note that the first 3 decimals coincide. The cubic root of 2114896080 is about 1283.5999083418.

The spelling of 2114896080 in words is "two billion, one hundred fourteen million, eight hundred ninety-six thousand, eighty".