2153922840 has 384 divisors, whose sum is σ = 7783776000. Its totient is φ = 534117888.

The previous prime is 2153922817. The next prime is 2153922851. The reversal of 2153922840 is 482293512.

It is a happy number.

2153922840 is a `hidden beast` number, since 21 + 539 + 22 + 84 + 0 = 666.

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 = 2153922795 and 2153922804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19760706 + ... + 19760814.

It is an arithmetic number, because the mean of its divisors is an integer number (20270250).

Almost surely, 2^2153922840 is an apocalyptic number.

2153922840 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 2153922840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888000).

2153922840 is an abundant number, since it is smaller than the sum of its proper divisors (5629853160).

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

2153922840 is a wasteful number, since it uses less digits than its factorization.

2153922840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

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

The square root of 2153922840 is about 46410.3742712769. The cubic root of 2153922840 is about 1291.4473749029.

The spelling of 2153922840 in words is "two billion, one hundred fifty-three million, nine hundred twenty-two thousand, eight hundred forty".