1742811840 has 672 divisors, whose sum is σ = 7759964160. Its totient is φ = 348364800.

The previous prime is 1742811799. The next prime is 1742811853. The reversal of 1742811840 is 481182471.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 1742811795 and 1742811804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6430905 + ... + 6431175.

Almost surely, 2^1742811840 is an apocalyptic number.

1742811840 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 1742811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879982080).

1742811840 is an abundant number, since it is smaller than the sum of its proper divisors (6017152320).

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

1742811840 is a wasteful number, since it uses less digits than its factorization.

1742811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1742811840 is about 41746.9979759024. The cubic root of 1742811840 is about 1203.4189165903.

It can be divided in two parts, 174281 and 1840, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 1742811840 in words is "one billion, seven hundred forty-two million, eight hundred eleven thousand, eight hundred forty".