1742450940 has 144 divisors (see below), whose sum is σ = 5523309792. Its totient is φ = 461085696.

The previous prime is 1742450903. The next prime is 1742451079. The reversal of 1742450940 is 490542471.

It is a happy number.

It is a super-2 number, since 2×1742450940² = 6072270556613767200, which contains 22 as substring.

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 = 1742450895 and 1742450904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664512 + ... + 667128.

It is an arithmetic number, because the mean of its divisors is an integer number (38356318).

Almost surely, 2^1742450940 is an apocalyptic number.

1742450940 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 1742450940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761654896).

1742450940 is an abundant number, since it is smaller than the sum of its proper divisors (3780858852).

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

1742450940 is a wasteful number, since it uses less digits than its factorization.

1742450940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2764 counting only the distinct ones).

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

The square root of 1742450940 is about 41742.6752856115. The cubic root of 1742450940 is about 1203.3358431990.

The spelling of 1742450940 in words is "one billion, seven hundred forty-two million, four hundred fifty thousand, nine hundred forty".