2014768080 has 200 divisors, whose sum is σ = 7536179112. Its totient is φ = 495922176.

The previous prime is 2014768061. The next prime is 2014768097. The reversal of 2014768080 is 808674102.

2014768080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 66781584 + 1947986496 = 8172^2 + 44136^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72282 + ... + 96198.

Almost surely, 2^2014768080 is an apocalyptic number.

2014768080 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 2014768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768089556).

2014768080 is an abundant number, since it is smaller than the sum of its proper divisors (5521411032).

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

2014768080 is a wasteful number, since it uses less digits than its factorization.

2014768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23955 (or 23940 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2014768080 is about 44886.1680253505. The cubic root of 2014768080 is about 1263.0145506417.

The spelling of 2014768080 in words is "two billion, fourteen million, seven hundred sixty-eight thousand, eighty".