2153723904 has 120 divisors (see below), whose sum is σ = 6433507080. Its totient is φ = 717852672.

The previous prime is 2153723893. The next prime is 2153723917. The reversal of 2153723904 is 4093273512.

It is a super-2 number, since 2×2153723904² = 9277053309322002432, which contains 22 as substring.

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 9 ways as a sum of consecutive naturals, for example, 159397 + ... + 172379.

It is an arithmetic number, because the mean of its divisors is an integer number (53612559).

Almost surely, 2^2153723904 is an apocalyptic number.

2153723904 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 2153723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216753540).

2153723904 is an abundant number, since it is smaller than the sum of its proper divisors (4279783176).

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

2153723904 is an equidigital number, since it uses as much as digits as its factorization.

2153723904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13017 (or 12988 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2153723904 is about 46408.2309940812. The cubic root of 2153723904 is about 1291.4076143816.

The spelling of 2153723904 in words is "two billion, one hundred fifty-three million, seven hundred twenty-three thousand, nine hundred four".