2900090906856 has 768 divisors, whose sum is σ = 10034166988800. Its totient is φ = 768187929600.

The previous prime is 2900090906833. The next prime is 2900090906873. The reversal of 2900090906856 is 6586090900092.

2900090906856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 585047130 + ... + 585052086.

It is an arithmetic number, because the mean of its divisors is an integer number (13065321600).

Almost surely, 2^{2900090906856} is an apocalyptic number.

2900090906856 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 2900090906856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017083494400).

2900090906856 is an abundant number, since it is smaller than the sum of its proper divisors (7134076081944).

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

2900090906856 is a wasteful number, since it uses less digits than its factorization.

2900090906856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 2900090906856 in words is "two trillion, nine hundred billion, ninety million, nine hundred six thousand, eight hundred fifty-six".