2153039616 has 540 divisors, whose sum is σ = 8091946632. Its totient is φ = 564350976.

The previous prime is 2153039611. The next prime is 2153039639. The reversal of 2153039616 is 6169303512.

2153039616 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 0 + 39 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153039611) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13208751 + ... + 13208913.

Almost surely, 2^2153039616 is an apocalyptic number.

2153039616 is a gapful number since it is divisible by the number (26) 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 2153039616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045973316).

2153039616 is an abundant number, since it is smaller than the sum of its proper divisors (5938907016).

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

2153039616 is a wasteful number, since it uses less digits than its factorization.

2153039616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2153039616 is about 46400.8579231031. The cubic root of 2153039616 is about 1291.2708298509.

The spelling of 2153039616 in words is "two billion, one hundred fifty-three million, thirty-nine thousand, six hundred sixteen".