2190291840 has 640 divisors, whose sum is σ = 8957329920. Its totient is φ = 504852480.

The previous prime is 2190291811. The next prime is 2190291853. The reversal of 2190291840 is 481920912.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2190291795 and 2190291804.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 13115437 + ... + 13115603.

It is an arithmetic number, because the mean of its divisors is an integer number (13995828).

Almost surely, 2^2190291840 is an apocalyptic number.

2190291840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478664960).

2190291840 is an abundant number, since it is smaller than the sum of its proper divisors (6767038080).

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

2190291840 is a wasteful number, since it uses less digits than its factorization.

2190291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2190291840 is about 46800.5538428767. The cubic root of 2190291840 is about 1298.6755426021.

The spelling of 2190291840 in words is "two billion, one hundred ninety million, two hundred ninety-one thousand, eight hundred forty".