2130053760 has 320 divisors, whose sum is σ = 8057598120. Its totient is φ = 534380544.

The previous prime is 2130053711. The next prime is 2130053773. The reversal of 2130053760 is 673500312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2130007104 + 46656 = 46152^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880072 + ... + 882488.

Almost surely, 2^2130053760 is an apocalyptic number.

2130053760 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 2130053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028799060).

2130053760 is an abundant number, since it is smaller than the sum of its proper divisors (5927544360).

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

2130053760 is a wasteful number, since it uses less digits than its factorization.

2130053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 2130053760 is about 46152.5054574505. The cubic root of 2130053760 is about 1286.6591758925.

The spelling of 2130053760 in words is "two billion, one hundred thirty million, fifty-three thousand, seven hundred sixty".