2617121990 has 64 divisors (see below), whose sum is σ = 5567643648. Its totient is φ = 866764800.

The previous prime is 2617121987. The next prime is 2617122017. The reversal of 2617121990 is 991217162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2149862 + ... + 2151078.

It is an arithmetic number, because the mean of its divisors is an integer number (86994432).

Almost surely, 2^2617121990 is an apocalyptic number.

2617121990 is an abundant number, since it is smaller than the sum of its proper divisors (2950521658).

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

2617121990 is a wasteful number, since it uses less digits than its factorization.

2617121990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253.

The product of its (nonzero) digits is 13608, while the sum is 38.

The square root of 2617121990 is about 51157.8145545722. The cubic root of 2617121990 is about 1378.0807160181.

The spelling of 2617121990 in words is "two billion, six hundred seventeen million, one hundred twenty-one thousand, nine hundred ninety".