2190743040 has 160 divisors (see below), whose sum is σ = 7070484960. Its totient is φ = 578617344.

The previous prime is 2190742979. The next prime is 2190743047. The reversal of 2190743040 is 403470912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2190742989 and 2190743007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190743047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835812 + ... + 838428.

It is an arithmetic number, because the mean of its divisors is an integer number (44190531).

Almost surely, 2^2190743040 is an apocalyptic number.

2190743040 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 2190743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535242480).

2190743040 is an abundant number, since it is smaller than the sum of its proper divisors (4879741920).

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

2190743040 is a wasteful number, since it uses less digits than its factorization.

2190743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2190743040 is about 46805.3740504229. The cubic root of 2190743040 is about 1298.7647121764.

The spelling of 2190743040 in words is "two billion, one hundred ninety million, seven hundred forty-three thousand, forty".