2153892240 has 60 divisors (see below), whose sum is σ = 7233490524. Its totient is φ = 574371072.

The previous prime is 2153892233. The next prime is 2153892259. The reversal of 2153892240 is 422983512.

It is a happy number.

2153892240 is a `hidden beast` number, since 215 + 389 + 22 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 543635856 + 1610256384 = 23316^2 + 40128^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 2153892195 and 2153892204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1495039 + ... + 1496478.

Almost surely, 2^2153892240 is an apocalyptic number.

2153892240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153892240 is an abundant number, since it is smaller than the sum of its proper divisors (5079598284).

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

2153892240 is a wasteful number, since it uses less digits than its factorization.

2153892240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991536 (or 2991527 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2153892240 is about 46410.0446024349. The cubic root of 2153892240 is about 1291.4412591659.

The spelling of 2153892240 in words is "two billion, one hundred fifty-three million, eight hundred ninety-two thousand, two hundred forty".