2114779080 has 128 divisors (see below), whose sum is σ = 6569164800. Its totient is φ = 544070400.

The previous prime is 2114779061. The next prime is 2114779099. The reversal of 2114779080 is 809774112.

It is an interprime number because it is at equal distance from previous prime (2114779061) and next prime (2114779099).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1602661 + ... + 1603979.

It is an arithmetic number, because the mean of its divisors is an integer number (51321600).

Almost surely, 2^2114779080 is an apocalyptic number.

2114779080 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 2114779080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284582400).

2114779080 is an abundant number, since it is smaller than the sum of its proper divisors (4454385720).

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

2114779080 is a wasteful number, since it uses less digits than its factorization.

2114779080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 2114779080 is about 45986.7272155782. The cubic root of 2114779080 is about 1283.5762375241.

The spelling of 2114779080 in words is "two billion, one hundred fourteen million, seven hundred seventy-nine thousand, eighty".