1842972516 has 432 divisors, whose sum is σ = 6471384192. Its totient is φ = 435456000.

The previous prime is 1842972463. The next prime is 1842972517. The reversal of 1842972516 is 6152792481.

1842972516 is a `hidden beast` number, since 1 + 8 + 42 + 97 + 2 + 516 = 666.

Its product of digits (241920) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (1842972517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12205041 + ... + 12205191.

It is an arithmetic number, because the mean of its divisors is an integer number (14980056).

Almost surely, 2^1842972516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1842972516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235692096).

1842972516 is an abundant number, since it is smaller than the sum of its proper divisors (4628411676).

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

1842972516 is a wasteful number, since it uses less digits than its factorization.

1842972516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1842972516 is about 42929.8557649569. The cubic root of 1842972516 is about 1226.0446490325.

The spelling of 1842972516 in words is "one billion, eight hundred forty-two million, nine hundred seventy-two thousand, five hundred sixteen".