2712030090 has 128 divisors (see below), whose sum is σ = 8190167040. Its totient is φ = 558316800.

The previous prime is 2712030047. The next prime is 2712030109. The reversal of 2712030090 is 900302172.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2712030090.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246405 + ... + 257175.

It is an arithmetic number, because the mean of its divisors is an integer number (63985680).

Almost surely, 2^2712030090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712030090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095083520).

2712030090 is an abundant number, since it is smaller than the sum of its proper divisors (5478136950).

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

2712030090 is a wasteful number, since it uses less digits than its factorization.

2712030090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10908.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2712030090 is about 52077.1551642368. The cubic root of 2712030090 is about 1394.5416872916.

The spelling of 2712030090 in words is "two billion, seven hundred twelve million, thirty thousand, ninety".