2142680760 has 192 divisors, whose sum is σ = 7637760000. Its totient is φ = 516637440.

The previous prime is 2142680753. The next prime is 2142680777. The reversal of 2142680760 is 670862412.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786681 + ... + 789399.

It is an arithmetic number, because the mean of its divisors is an integer number (39780000).

Almost surely, 2^2142680760 is an apocalyptic number.

2142680760 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 2142680760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880000).

2142680760 is an abundant number, since it is smaller than the sum of its proper divisors (5495079240).

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

2142680760 is a wasteful number, since it uses less digits than its factorization.

2142680760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2142680760 is about 46289.0997968204. The cubic root of 2142680760 is about 1289.1966153309.

The spelling of 2142680760 in words is "two billion, one hundred forty-two million, six hundred eighty thousand, seven hundred sixty".