1945208790 has 192 divisors, whose sum is σ = 6258885120. Its totient is φ = 421070400.

The previous prime is 1945208779. The next prime is 1945208813. The reversal of 1945208790 is 978025491.

It is a super-3 number, since 3×1945208790³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 680865 + ... + 683715.

It is an arithmetic number, because the mean of its divisors is an integer number (32598360).

Almost surely, 2^1945208790 is an apocalyptic number.

1945208790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1945208790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129442560).

1945208790 is an abundant number, since it is smaller than the sum of its proper divisors (4313676330).

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

1945208790 is a wasteful number, since it uses less digits than its factorization.

1945208790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1945208790 is about 44104.5211968116. The cubic root of 1945208790 is about 1248.3089217686.

The spelling of 1945208790 in words is "one billion, nine hundred forty-five million, two hundred eight thousand, seven hundred ninety".