1742641560 has 256 divisors, whose sum is σ = 6473779200. Its totient is φ = 413337600.

The previous prime is 1742641547. The next prime is 1742641561. The reversal of 1742641560 is 651462471.

1742641560 is a `hidden beast` number, since 1 + 7 + 4 + 2 + 641 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742641561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 556800 + ... + 559920.

It is an arithmetic number, because the mean of its divisors is an integer number (25288200).

Almost surely, 2^1742641560 is an apocalyptic number.

1742641560 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 1742641560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236889600).

1742641560 is an abundant number, since it is smaller than the sum of its proper divisors (4731137640).

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

1742641560 is a wasteful number, since it uses less digits than its factorization.

1742641560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1742641560 is about 41744.9584980031. The cubic root of 1742641560 is about 1203.3797222947.

Subtracting from 1742641560 its reverse (651462471), we obtain a square (1091179089 = 33033²).

The spelling of 1742641560 in words is "one billion, seven hundred forty-two million, six hundred forty-one thousand, five hundred sixty".