2146399870560 has 768 divisors, whose sum is σ = 8104053888000. Its totient is φ = 471670456320.

The previous prime is 2146399870553. The next prime is 2146399870597. The reversal of 2146399870560 is 650789936412.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2146399870494 and 2146399870503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 328745376 + ... + 328751904.

It is an arithmetic number, because the mean of its divisors is an integer number (10552153500).

It is a 1-persistent number, because it is pandigital, but 2⋅2146399870560 = 4292799741120 is not.

Almost surely, 2^{2146399870560} is an apocalyptic number.

2146399870560 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 2146399870560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052026944000).

2146399870560 is an abundant number, since it is smaller than the sum of its proper divisors (5957654017440).

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

2146399870560 is a wasteful number, since it uses less digits than its factorization.

2146399870560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 2146399870560 in words is "two trillion, one hundred forty-six billion, three hundred ninety-nine million, eight hundred seventy thousand, five hundred sixty".