2072339424 has 192 divisors, whose sum is σ = 6519744000. Its totient is φ = 638254080.

The previous prime is 2072339419. The next prime is 2072339441. The reversal of 2072339424 is 4249332702.

It is a happy number.

2072339424 is a `hidden beast` number, since 207 + 23 + 3 + 9 + 424 = 666.

2072339424 is digitally balanced in base 4, 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 congruent number.

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, 671517 + ... + 674595.

It is an arithmetic number, because the mean of its divisors is an integer number (33957000).

Almost surely, 2^2072339424 is an apocalyptic number.

2072339424 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 2072339424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259872000).

2072339424 is an abundant number, since it is smaller than the sum of its proper divisors (4447404576).

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

2072339424 is a wasteful number, since it uses less digits than its factorization.

2072339424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2072339424 is about 45522.9549128788. The cubic root of 2072339424 is about 1274.9318274968.

The spelling of 2072339424 in words is "two billion, seventy-two million, three hundred thirty-nine thousand, four hundred twenty-four".