1742661120 has 160 divisors (see below), whose sum is σ = 5627711232. Its totient is φ = 459988992.

The previous prime is 1742661103. The next prime is 1742661131. The reversal of 1742661120 is 211662471.

1742661120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789939 + ... + 792141.

Almost surely, 2^1742661120 is an apocalyptic number.

1742661120 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 1742661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813855616).

1742661120 is an abundant number, since it is smaller than the sum of its proper divisors (3885050112).

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

1742661120 is a wasteful number, since it uses less digits than its factorization.

1742661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1742661120 is about 41745.1927771330. The cubic root of 1742661120 is about 1203.3842246586.

The spelling of 1742661120 in words is "one billion, seven hundred forty-two million, six hundred sixty-one thousand, one hundred twenty".