2142185965920 has 1920 divisors, whose sum is σ = 10320881421312. Its totient is φ = 404003635200.

The previous prime is 2142185965919. The next prime is 2142185965967. The reversal of 2142185965920 is 295695812412.

2142185965920 is a `hidden beast` number, since 2 + 1 + 4 + 21 + 8 + 596 + 5 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 791349207 + ... + 791351913.

Almost surely, 2^{2142185965920} is an apocalyptic number.

2142185965920 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 2142185965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160440710656).

2142185965920 is an abundant number, since it is smaller than the sum of its proper divisors (8178695455392).

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

2142185965920 is a wasteful number, since it uses less digits than its factorization.

2142185965920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 2142185965920 in words is "two trillion, one hundred forty-two billion, one hundred eighty-five million, nine hundred sixty-five thousand, nine hundred twenty".