2359938672 has 320 divisors, whose sum is σ = 8409461760. Its totient is φ = 617020416.

The previous prime is 2359938641. The next prime is 2359938673. The reversal of 2359938672 is 2768399532.

It is a happy number.

It is a super-2 number, since 2×2359938672² = 11138621071202247168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2359938673) 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, 6800803 + ... + 6801149.

It is an arithmetic number, because the mean of its divisors is an integer number (26279568).

Almost surely, 2^2359938672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2359938672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204730880).

2359938672 is an abundant number, since it is smaller than the sum of its proper divisors (6049523088).

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

2359938672 is a wasteful number, since it uses less digits than its factorization.

2359938672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 2359938672 is about 48579.1999934128. The cubic root of 2359938672 is about 1331.3745135670.

The spelling of 2359938672 in words is "two billion, three hundred fifty-nine million, nine hundred thirty-eight thousand, six hundred seventy-two".