2153894340 has 384 divisors, whose sum is σ = 7315660800. Its totient is φ = 468357120.

The previous prime is 2153894329. The next prime is 2153894399. The reversal of 2153894340 is 434983512.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24201016 + ... + 24201104.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2^2153894340 is an apocalyptic number.

2153894340 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 2153894340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657830400).

2153894340 is an abundant number, since it is smaller than the sum of its proper divisors (5161766460).

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

2153894340 is a wasteful number, since it uses less digits than its factorization.

2153894340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2153894340 is about 46410.0672268421. The cubic root of 2153894340 is about 1291.4416788752.

The spelling of 2153894340 in words is "two billion, one hundred fifty-three million, eight hundred ninety-four thousand, three hundred forty".