2906930688000 has 416 divisors, whose sum is σ = 10182296317440. Its totient is φ = 734375116800.

The previous prime is 2906930687971. The next prime is 2906930688007. The reversal of 2906930688000 is 8860396092.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2906930688007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29134197 + ... + 29233803.

It is an arithmetic number, because the mean of its divisors is an integer number (24476673840).

Almost surely, 2^{2906930688000} is an apocalyptic number.

2906930688000 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 2906930688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091148158720).

2906930688000 is an abundant number, since it is smaller than the sum of its proper divisors (7275365629440).

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

2906930688000 is an equidigital number, since it uses as much as digits as its factorization.

2906930688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99668 (or 99636 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 2906930688000 in words is "two trillion, nine hundred six billion, nine hundred thirty million, six hundred eighty-eight thousand".