1742400000 has 540 divisors, whose sum is σ = 6908803902. Its totient is φ = 422400000.

The previous prime is 1742399999. The next prime is 1742400013. The reversal of 1742400000 is 42471.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 2509056 + 1739890944 = 1584^2 + 41712^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 158399995 + ... + 158400005.

Almost surely, 2^1742400000 is an apocalyptic number.

1742400000 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 1742400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454401951).

1742400000 is an abundant number, since it is smaller than the sum of its proper divisors (5166403902).

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

1742400000 is an frugal number, since it uses more digits than its factorization.

1742400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1742400000 is about 41742.0651142226. The cubic root of 1742400000 is about 1203.3241167043.

Adding to 1742400000 its reverse (42471), we get a palindrome (1742442471).

The spelling of 1742400000 in words is "one billion, seven hundred forty-two million, four hundred thousand".