2914086960 has 120 divisors (see below), whose sum is σ = 10362193920. Its totient is φ = 731375616.

The previous prime is 2914086949. The next prime is 2914086961. The reversal of 2914086960 is 696804192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2914086961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106800 + ... + 131279.

It is an arithmetic number, because the mean of its divisors is an integer number (86351616).

Almost surely, 2^2914086960 is an apocalyptic number.

2914086960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2914086960 is an abundant number, since it is smaller than the sum of its proper divisors (7448106960).

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

2914086960 is a wasteful number, since it uses less digits than its factorization.

2914086960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238115 (or 238106 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2914086960 is about 53982.2837605079. The cubic root of 2914086960 is about 1428.3484543805.

The spelling of 2914086960 in words is "two billion, nine hundred fourteen million, eighty-six thousand, nine hundred sixty".