1742442240 has 576 divisors, whose sum is σ = 7120576512. Its totient is φ = 352665600.

The previous prime is 1742442223. The next prime is 1742442287. The reversal of 1742442240 is 422442471.

It is a super-2 number, since 2×1742442240² = 6072209919472435200, which contains 22 as substring.

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 = 1742442198 and 1742442207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20993239 + ... + 20993321.

It is an arithmetic number, because the mean of its divisors is an integer number (12362112).

Almost surely, 2^1742442240 is an apocalyptic number.

1742442240 is a gapful number since it is divisible by the number (10) 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 1742442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560288256).

1742442240 is an abundant number, since it is smaller than the sum of its proper divisors (5378134272).

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

1742442240 is a wasteful number, since it uses less digits than its factorization.

1742442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The square root of 1742442240 is about 41742.5710755818. The cubic root of 1742442240 is about 1203.3338404570. Note that the first 3 decimals are identical.

The spelling of 1742442240 in words is "one billion, seven hundred forty-two million, four hundred forty-two thousand, two hundred forty".