2142600768 has 224 divisors, whose sum is σ = 7853598720. Its totient is φ = 556485120.

The previous prime is 2142600767. The next prime is 2142600787. The reversal of 2142600768 is 8670062412.

2142600768 is a `hidden beast` number, since 2 + 1 + 42 + 600 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (2142600767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125005 + ... + 141107.

Almost surely, 2^2142600768 is an apocalyptic number.

2142600768 is a gapful number since it is divisible by the number (28) 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 2142600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926799360).

2142600768 is an abundant number, since it is smaller than the sum of its proper divisors (5710997952).

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

2142600768 is a wasteful number, since it uses less digits than its factorization.

2142600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16142 (or 16126 counting only the distinct ones).

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

The square root of 2142600768 is about 46288.2357408446. The cubic root of 2142600768 is about 1289.1805720794.

The spelling of 2142600768 in words is "two billion, one hundred forty-two million, six hundred thousand, seven hundred sixty-eight".