1742861340 has 192 divisors, whose sum is σ = 6172830720. Its totient is φ = 404110080.

The previous prime is 1742861327. The next prime is 1742861359. The reversal of 1742861340 is 431682471.

1742861340 is a `hidden beast` number, since 17 + 4 + 28 + 613 + 4 + 0 = 666.

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 = 1742861295 and 1742861304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130242 + ... + 142998.

It is an arithmetic number, because the mean of its divisors is an integer number (32150160).

Almost surely, 2^1742861340 is an apocalyptic number.

1742861340 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 1742861340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086415360).

1742861340 is an abundant number, since it is smaller than the sum of its proper divisors (4429969380).

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

1742861340 is a wasteful number, since it uses less digits than its factorization.

1742861340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12809 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1742861340 is about 41747.5908286933. The cubic root of 1742861340 is about 1203.4303098019.

The spelling of 1742861340 in words is "one billion, seven hundred forty-two million, eight hundred sixty-one thousand, three hundred forty".