1945749960 has 384 divisors, whose sum is σ = 8349868800. Its totient is φ = 380436480.

The previous prime is 1945749947. The next prime is 1945749961. The reversal of 1945749960 is 699475491.

It is a happy number.

1945749960 is a `hidden beast` number, since 1 + 9 + 4 + 574 + 9 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1945749897 and 1945749906.

It is not an unprimeable number, because it can be changed into a prime (1945749961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 469176 + ... + 473304.

It is an arithmetic number, because the mean of its divisors is an integer number (21744450).

Almost surely, 2^1945749960 is an apocalyptic number.

1945749960 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 1945749960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174934400).

1945749960 is an abundant number, since it is smaller than the sum of its proper divisors (6404118840).

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

1945749960 is a wasteful number, since it uses less digits than its factorization.

1945749960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1945749960 is about 44110.6558554733. The cubic root of 1945749960 is about 1248.4246736448.

The spelling of 1945749960 in words is "one billion, nine hundred forty-five million, seven hundred forty-nine thousand, nine hundred sixty".