2014944672 has 192 divisors, whose sum is σ = 5953118976. Its totient is φ = 592650240.

The previous prime is 2014944649. The next prime is 2014944683. The reversal of 2014944672 is 2764494102.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2014944672.

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, 2711533 + ... + 2712275.

It is an arithmetic number, because the mean of its divisors is an integer number (31005828).

Almost surely, 2^2014944672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014944672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976559488).

2014944672 is an abundant number, since it is smaller than the sum of its proper divisors (3938174304).

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

2014944672 is a wasteful number, since it uses less digits than its factorization.

2014944672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2014944672 is about 44888.1350915807. The cubic root of 2014944672 is about 1263.0514501326.

The spelling of 2014944672 in words is "two billion, fourteen million, nine hundred forty-four thousand, six hundred seventy-two".