2153760840 has 640 divisors, whose sum is σ = 9220780800. Its totient is φ = 437944320.

The previous prime is 2153760809. The next prime is 2153760883. The reversal of 2153760840 is 480673512.

2153760840 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 7 + 608 + 40 = 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 = 2153760795 and 2153760804.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22203672 + ... + 22203768.

It is an arithmetic number, because the mean of its divisors is an integer number (14407470).

It is a vampire number, since it can be written as 38412 ⋅ 56070 (with its own digits).

Almost surely, 2^2153760840 is an apocalyptic number.

2153760840 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 2153760840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610390400).

2153760840 is an abundant number, since it is smaller than the sum of its proper divisors (7067019960).

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

2153760840 is a wasteful number, since it uses less digits than its factorization.

2153760840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2153760840 is about 46408.6289390238. The cubic root of 2153760840 is about 1291.4149968133.

The spelling of 2153760840 in words is "two billion, one hundred fifty-three million, seven hundred sixty thousand, eight hundred forty".