2872332144 has 320 divisors, whose sum is σ = 9802944000. Its totient is φ = 795432960.

The previous prime is 2872332131. The next prime is 2872332149. The reversal of 2872332144 is 4412332782.

It is a happy number.

2872332144 is a `hidden beast` number, since 287 + 2 + 332 + 1 + 44 = 666.

2872332144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2872332099 and 2872332108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872332149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2617804 + ... + 2618900.

It is an arithmetic number, because the mean of its divisors is an integer number (30634200).

Almost surely, 2^2872332144 is an apocalyptic number.

2872332144 is a gapful number since it is divisible by the number (24) 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 2872332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901472000).

2872332144 is an abundant number, since it is smaller than the sum of its proper divisors (6930611856).

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

2872332144 is a wasteful number, since it uses less digits than its factorization.

2872332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1161 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 2872332144 is about 53594.1428143039. The cubic root of 2872332144 is about 1421.4935261235.

The spelling of 2872332144 in words is "two billion, eight hundred seventy-two million, three hundred thirty-two thousand, one hundred forty-four".