2031144960 has 208 divisors, whose sum is σ = 7001535744. Its totient is φ = 499777536.

The previous prime is 2031144959. The next prime is 2031144979. The reversal of 2031144960 is 694411302.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797449 + ... + 799991.

Almost surely, 2^2031144960 is an apocalyptic number.

2031144960 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 2031144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500767872).

2031144960 is an abundant number, since it is smaller than the sum of its proper divisors (4970390784).

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

2031144960 is a wasteful number, since it uses less digits than its factorization.

2031144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2031144960 is about 45068.2256140621. The cubic root of 2031144960 is about 1266.4274241910.

The spelling of 2031144960 in words is "two billion, thirty-one million, one hundred forty-four thousand, nine hundred sixty".