2142274640 has 80 divisors (see below), whose sum is σ = 5487613056. Its totient is φ = 771264000.

The previous prime is 2142274639. The next prime is 2142274661. The reversal of 2142274640 is 464722412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2142274597 and 2142274606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76829 + ... + 100931.

Almost surely, 2^2142274640 is an apocalyptic number.

2142274640 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 2142274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743806528).

2142274640 is an abundant number, since it is smaller than the sum of its proper divisors (3345338416).

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

2142274640 is a wasteful number, since it uses less digits than its factorization.

2142274640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24228 (or 24222 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 2142274640 is about 46284.7128110351. The cubic root of 2142274640 is about 1289.1151594865.

The spelling of 2142274640 in words is "two billion, one hundred forty-two million, two hundred seventy-four thousand, six hundred forty".