2153925312 has 224 divisors, whose sum is σ = 7189378560. Its totient is φ = 552837120.

The previous prime is 2153925299. The next prime is 2153925317. The reversal of 2153925312 is 2135293512.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2153925317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1314958 + ... + 1316594.

It is an arithmetic number, because the mean of its divisors is an integer number (32095440).

Almost surely, 2^2153925312 is an apocalyptic number.

2153925312 is a gapful number since it is divisible by the number (22) 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 2153925312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

2153925312 is an abundant number, since it is smaller than the sum of its proper divisors (5035453248).

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

2153925312 is a wasteful number, since it uses less digits than its factorization.

2153925312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1749 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 2153925312 is about 46410.4009032458. The cubic root of 2153925312 is about 1291.4478689560.

The spelling of 2153925312 in words is "two billion, one hundred fifty-three million, nine hundred twenty-five thousand, three hundred twelve".