1741980240 has 480 divisors, whose sum is σ = 7857997056. Its totient is φ = 333987840.

The previous prime is 1741980221. The next prime is 1741980263. The reversal of 1741980240 is 420891471.

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 = 1741980195 and 1741980204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 719512 + ... + 721928.

Almost surely, 2^1741980240 is an apocalyptic number.

1741980240 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 1741980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928998528).

1741980240 is an abundant number, since it is smaller than the sum of its proper divisors (6116016816).

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

1741980240 is a wasteful number, since it uses less digits than its factorization.

1741980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1741980240 is about 41737.0367898824. The cubic root of 1741980240 is about 1203.2274783705.

The spelling of 1741980240 in words is "one billion, seven hundred forty-one million, nine hundred eighty thousand, two hundred forty".