2240191440 has 240 divisors, whose sum is σ = 7825499136. Its totient is φ = 573696000.

The previous prime is 2240191433. The next prime is 2240191451. The reversal of 2240191440 is 441910422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3727140 + ... + 3727740.

Almost surely, 2^2240191440 is an apocalyptic number.

2240191440 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 2240191440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912749568).

2240191440 is an abundant number, since it is smaller than the sum of its proper divisors (5585307696).

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

2240191440 is a wasteful number, since it uses less digits than its factorization.

2240191440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2240191440 is about 47330.6606757184. The cubic root of 2240191440 is about 1308.4637975930.

The spelling of 2240191440 in words is "two billion, two hundred forty million, one hundred ninety-one thousand, four hundred forty".