2416020090 has 64 divisors (see below), whose sum is σ = 6334778880. Its totient is φ = 584850240.

The previous prime is 2416020053. The next prime is 2416020109. The reversal of 2416020090 is 900206142.

It is a self number, because there is not a number n which added to its sum of digits gives 2416020090.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238917 + ... + 248823.

It is an arithmetic number, because the mean of its divisors is an integer number (98980920).

Almost surely, 2^2416020090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2416020090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167389440).

2416020090 is an abundant number, since it is smaller than the sum of its proper divisors (3918758790).

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

2416020090 is a wasteful number, since it uses less digits than its factorization.

2416020090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10667.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2416020090 is about 49153.0272719799. The cubic root of 2416020090 is about 1341.8382897018.

The spelling of 2416020090 in words is "two billion, four hundred sixteen million, twenty thousand, ninety".