2101405820976 has 480 divisors, whose sum is σ = 7404899913216. Its totient is φ = 544925145600.

The previous prime is 2101405820867. The next prime is 2101405821037. The reversal of 2101405820976 is 6790285041012.

2101405820976 is a `hidden beast` number, since 21 + 0 + 1 + 40 + 582 + 0 + 9 + 7 + 6 = 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, 1337622271 + ... + 1337623841.

Almost surely, 2^{2101405820976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101405820976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702449956608).

2101405820976 is an abundant number, since it is smaller than the sum of its proper divisors (5303494092240).

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

2101405820976 is a wasteful number, since it uses less digits than its factorization.

2101405820976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2101405820976 in words is "two trillion, one hundred one billion, four hundred five million, eight hundred twenty thousand, nine hundred seventy-six".