2142766040 has 96 divisors (see below), whose sum is σ = 5122926000. Its totient is φ = 806485248.

The previous prime is 2142766039. The next prime is 2142766069. The reversal of 2142766040 is 406672412.

It is a junction number, because it is equal to n+sod(n) for n = 2142765988 and 2142766006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2584346 + ... + 2585174.

Almost surely, 2^2142766040 is an apocalyptic number.

2142766040 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 2142766040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561463000).

2142766040 is an abundant number, since it is smaller than the sum of its proper divisors (2980159960).

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

2142766040 is a wasteful number, since it uses less digits than its factorization.

2142766040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2142766040 is about 46290.0209548451. The cubic root of 2142766040 is about 1289.2137187076.

The spelling of 2142766040 in words is "two billion, one hundred forty-two million, seven hundred sixty-six thousand, forty".