2160703440 has 240 divisors, whose sum is σ = 8318539008. Its totient is φ = 492355584.

The previous prime is 2160703429. The next prime is 2160703459. The reversal of 2160703440 is 443070612.

2160703440 is a `hidden beast` number, since 21 + 607 + 0 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2160703440³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2907709 + ... + 2908451.

Almost surely, 2^2160703440 is an apocalyptic number.

2160703440 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 2160703440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159269504).

2160703440 is an abundant number, since it is smaller than the sum of its proper divisors (6157835568).

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

2160703440 is a wasteful number, since it uses less digits than its factorization.

2160703440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2160703440 is about 46483.3673479020. The cubic root of 2160703440 is about 1292.8011243016.

It can be divided in two parts, 2160 and 703440, that added together give a square (705600 = 840²).

The spelling of 2160703440 in words is "two billion, one hundred sixty million, seven hundred three thousand, four hundred forty".