2790906100 has 36 divisors (see below), whose sum is σ = 6059573100. Its totient is φ = 1115752960.

The previous prime is 2790906091. The next prime is 2790906109. The reversal of 2790906100 is 16090972.

It is an interprime number because it is at equal distance from previous prime (2790906091) and next prime (2790906109).

It can be written as a sum of positive squares in 6 ways, for example, as 293505424 + 2497400676 = 17132^2 + 49974^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2790906109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 206346 + ... + 219454.

It is an arithmetic number, because the mean of its divisors is an integer number (168321475).

Almost surely, 2^2790906100 is an apocalyptic number.

2790906100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2790906100 is an abundant number, since it is smaller than the sum of its proper divisors (3268667000).

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

2790906100 is a wasteful number, since it uses less digits than its factorization.

2790906100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15252 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 2790906100 is about 52829.0270589948. The cubic root of 2790906100 is about 1407.9322002961.

The spelling of 2790906100 in words is "two billion, seven hundred ninety million, nine hundred six thousand, one hundred".