2090767517696 has 384 divisors, whose sum is σ = 5264049772800. Its totient is φ = 816328212480.

The previous prime is 2090767517617. The next prime is 2090767517723. The reversal of 2090767517696 is 6967157670902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249223070 + ... + 249231458.

It is an arithmetic number, because the mean of its divisors is an integer number (13708462950).

Almost surely, 2^{2090767517696} is an apocalyptic number.

2090767517696 is a gapful number since it is divisible by the number (26) 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 2090767517696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632024886400).

2090767517696 is an abundant number, since it is smaller than the sum of its proper divisors (3173282255104).

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

2090767517696 is a wasteful number, since it uses less digits than its factorization.

2090767517696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8495 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 65.

The spelling of 2090767517696 in words is "two trillion, ninety billion, seven hundred sixty-seven million, five hundred seventeen thousand, six hundred ninety-six".