2153970000 has 600 divisors, whose sum is σ = 9306321024. Its totient is φ = 452736000.

The previous prime is 2153969981. The next prime is 2153970001. The reversal of 2153970000 is 793512.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153970001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8189869 + ... + 8190131.

Almost surely, 2^2153970000 is an apocalyptic number.

2153970000 is a gapful number since it is divisible by the number (20) 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 2153970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653160512).

2153970000 is an abundant number, since it is smaller than the sum of its proper divisors (7152351024).

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

2153970000 is a wasteful number, since it uses less digits than its factorization.

2153970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2153970000 is about 46410.8823445536. The cubic root of 2153970000 is about 1291.4568002194.

The spelling of 2153970000 in words is "two billion, one hundred fifty-three million, nine hundred seventy thousand".