2142756000 has 576 divisors, whose sum is σ = 9493376256. Its totient is φ = 444672000.

The previous prime is 2142755963. The next prime is 2142756001. The reversal of 2142756000 is 6572412.

It is not an unprimeable number, because it can be changed into a prime (2142756001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2771614 + ... + 2772386.

It is an arithmetic number, because the mean of its divisors is an integer number (16481556).

Almost surely, 2^2142756000 is an apocalyptic number.

2142756000 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 2142756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746688128).

2142756000 is an abundant number, since it is smaller than the sum of its proper divisors (7350620256).

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

2142756000 is a wasteful number, since it uses less digits than its factorization.

2142756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2142756000 is about 46289.9125080184. The cubic root of 2142756000 is about 1289.2117051535.

The spelling of 2142756000 in words is "two billion, one hundred forty-two million, seven hundred fifty-six thousand".