1945082880 has 528 divisors, whose sum is σ = 7725279744. Its totient is φ = 448266240.

The previous prime is 1945082833. The next prime is 1945082903. The reversal of 1945082880 is 882805491.

It is a happy number.

It is a super-4 number, since 4×1945082880⁴ (a number of 38 digits) contains 4444 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10183585 + ... + 10183775.

Almost surely, 2^1945082880 is an apocalyptic number.

1945082880 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 1945082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862639872).

1945082880 is an abundant number, since it is smaller than the sum of its proper divisors (5780196864).

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

1945082880 is a wasteful number, since it uses less digits than its factorization.

1945082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1945082880 is about 44103.0937690317. The cubic root of 1945082880 is about 1248.2819875617.

The spelling of 1945082880 in words is "one billion, nine hundred forty-five million, eighty-two thousand, eight hundred eighty".