2511690090 has 128 divisors (see below), whose sum is σ = 7447652352. Its totient is φ = 527904000.

The previous prime is 2511690089. The next prime is 2511690101. The reversal of 2511690090 is 900961152.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 770965 + ... + 774215.

It is an arithmetic number, because the mean of its divisors is an integer number (58184784).

Almost surely, 2^2511690090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2511690090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723826176).

2511690090 is an abundant number, since it is smaller than the sum of its proper divisors (4935962262).

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

2511690090 is a wasteful number, since it uses less digits than its factorization.

2511690090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564.

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 2511690090 is about 50116.7645603744. The cubic root of 2511690090 is about 1359.3209719417.

The spelling of 2511690090 in words is "two billion, five hundred eleven million, six hundred ninety thousand, ninety".