2162096259840 has 864 divisors, whose sum is σ = 8450089869312. Its totient is φ = 505663488000.

The previous prime is 2162096259803. The next prime is 2162096259913. The reversal of 2162096259840 is 489526902612.

2162096259840 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 0 + 9 + 6 + 2 + 598 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1693105282 + ... + 1693106558.

It is an arithmetic number, because the mean of its divisors is an integer number (9780196608).

Almost surely, 2^{2162096259840} is an apocalyptic number.

2162096259840 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 2162096259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225044934656).

2162096259840 is an abundant number, since it is smaller than the sum of its proper divisors (6287993609472).

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

2162096259840 is a wasteful number, since it uses less digits than its factorization.

2162096259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2162096259840 in words is "two trillion, one hundred sixty-two billion, ninety-six million, two hundred fifty-nine thousand, eight hundred forty".