2720232144 has 240 divisors, whose sum is σ = 9042468864. Its totient is φ = 747014400.

The previous prime is 2720232143. The next prime is 2720232173. The reversal of 2720232144 is 4412320272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2720232143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8218059 + ... + 8218389.

Almost surely, 2^2720232144 is an apocalyptic number.

2720232144 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 2720232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521234432).

2720232144 is an abundant number, since it is smaller than the sum of its proper divisors (6322236720).

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

2720232144 is a wasteful number, since it uses less digits than its factorization.

2720232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2720232144 is about 52155.8447731412. The cubic root of 2720232144 is about 1395.9461204209.

The spelling of 2720232144 in words is "two billion, seven hundred twenty million, two hundred thirty-two thousand, one hundred forty-four".