1742302920 has 128 divisors (see below), whose sum is σ = 5497943040. Its totient is φ = 441093120.

The previous prime is 1742302897. The next prime is 1742302921. The reversal of 1742302920 is 292032471.

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

It is not an unprimeable number, because it can be changed into a prime (1742302921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192742 + ... + 201578.

It is an arithmetic number, because the mean of its divisors is an integer number (42952680).

Almost surely, 2^1742302920 is an apocalyptic number.

1742302920 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 1742302920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748971520).

1742302920 is an abundant number, since it is smaller than the sum of its proper divisors (3755640120).

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

1742302920 is a wasteful number, since it uses less digits than its factorization.

1742302920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8935 (or 8931 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1742302920 is about 41740.9022422851. The cubic root of 1742302920 is about 1203.3017680521.

The spelling of 1742302920 in words is "one billion, seven hundred forty-two million, three hundred two thousand, nine hundred twenty".