2014648000 has 56 divisors (see below), whose sum is σ = 4989295584. Its totient is φ = 805856000.

The previous prime is 2014647989. The next prime is 2014648001. The reversal of 2014648000 is 8464102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2014648001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117916 + ... + 133915.

It is an arithmetic number, because the mean of its divisors is an integer number (89094564).

Almost surely, 2^2014648000 is an apocalyptic number.

2014648000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014648000 is an abundant number, since it is smaller than the sum of its proper divisors (2974647584).

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

2014648000 is an equidigital number, since it uses as much as digits as its factorization.

2014648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251858 (or 251838 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2014648000 is about 44884.8303995905. The cubic root of 2014648000 is about 1262.9894582912.

The spelling of 2014648000 in words is "two billion, fourteen million, six hundred forty-eight thousand".