2814090144 has 48 divisors (see below), whose sum is σ = 7405151040. Its totient is φ = 935723520.

The previous prime is 2814090107. The next prime is 2814090157. The reversal of 2814090144 is 4410904182.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3429 + ... + 75099.

It is an arithmetic number, because the mean of its divisors is an integer number (154273980).

Almost surely, 2^2814090144 is an apocalyptic number.

2814090144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2814090144 is an abundant number, since it is smaller than the sum of its proper divisors (4591060896).

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

2814090144 is a wasteful number, since it uses less digits than its factorization.

2814090144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72093 (or 72085 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2814090144 is about 53047.9984919318. The cubic root of 2814090144 is about 1411.8200168101.

The spelling of 2814090144 in words is "two billion, eight hundred fourteen million, ninety thousand, one hundred forty-four".