2146579081920 has 3360 divisors, whose sum is σ = 10347772925952. Its totient is φ = 410966949888.

The previous prime is 2146579081909. The next prime is 2146579081949. The reversal of 2146579081920 is 291809756412.

It is a happy number.

2146579081920 is a `hidden beast` number, since 2 + 1 + 46 + 579 + 0 + 8 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 32038493727 + ... + 32038493793.

Almost surely, 2^{2146579081920} is an apocalyptic number.

2146579081920 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 2146579081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173886462976).

2146579081920 is an abundant number, since it is smaller than the sum of its proper divisors (8201193844032).

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

2146579081920 is a wasteful number, since it uses less digits than its factorization.

2146579081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2146579081920 in words is "two trillion, one hundred forty-six billion, five hundred seventy-nine million, eighty-one thousand, nine hundred twenty".