2153760336 has 360 divisors, whose sum is σ = 7646296320. Its totient is φ = 553872384.

The previous prime is 2153760293. The next prime is 2153760353. The reversal of 2153760336 is 6330673512.

2153760336 is a `hidden beast` number, since 2 + 15 + 3 + 7 + 603 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2153760336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8006410 + ... + 8006678.

It is an arithmetic number, because the mean of its divisors is an integer number (21239712).

Almost surely, 2^2153760336 is an apocalyptic number.

2153760336 is a gapful number since it is divisible by the number (26) 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 2153760336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823148160).

2153760336 is an abundant number, since it is smaller than the sum of its proper divisors (5492535984).

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

2153760336 is a wasteful number, since it uses less digits than its factorization.

2153760336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 2153760336 is about 46408.6235089988. The cubic root of 2153760336 is about 1291.4148960789.

The spelling of 2153760336 in words is "two billion, one hundred fifty-three million, seven hundred sixty thousand, three hundred thirty-six".