2090981906064 has 30 divisors (see below), whose sum is σ = 5851845195846. Its totient is φ = 696993968640.

The previous prime is 2090981906017. The next prime is 2090981906081. The reversal of 2090981906064 is 4606091890902.

2090981906064 is a `hidden beast` number, since 20 + 9 + 0 + 9 + 8 + 1 + 9 + 0 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2065279403664 + 25702502400 = 1437108^2 + 160320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2090981906064.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7260353697 + ... + 7260353984.

Almost surely, 2^{2090981906064} is an apocalyptic number.

2090981906064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2090981906064 is an abundant number, since it is smaller than the sum of its proper divisors (3760863289782).

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

2090981906064 is a wasteful number, since it uses less digits than its factorization.

2090981906064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14520707695 (or 14520707686 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 2090981906064 in words is "two trillion, ninety billion, nine hundred eighty-one million, nine hundred six thousand, sixty-four".