1945051200 has 252 divisors, whose sum is σ = 6951812868. Its totient is φ = 515788800.

The previous prime is 1945051169. The next prime is 1945051211. The reversal of 1945051200 is 21505491.

1945051200 is a `hidden beast` number, since 1 + 9 + 450 + 5 + 1 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3415104 + 1941636096 = 1848^2 + 44064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4218970 + ... + 4219430.

It is an arithmetic number, because the mean of its divisors is an integer number (27586559).

Almost surely, 2^1945051200 is an apocalyptic number.

1945051200 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 1945051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475906434).

1945051200 is an abundant number, since it is smaller than the sum of its proper divisors (5006761668).

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

1945051200 is a wasteful number, since it uses less digits than its factorization.

1945051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1945051200 is about 44102.7346090920. The cubic root of 1945051200 is about 1248.2752105089.

Adding to 1945051200 its reverse (21505491), we get a palindrome (1966556691).

The spelling of 1945051200 in words is "one billion, nine hundred forty-five million, fifty-one thousand, two hundred".