1945946880 has 216 divisors, whose sum is σ = 6951235200. Its totient is φ = 502087680.

The previous prime is 1945946857. The next prime is 1945946903. The reversal of 1945946880 is 886495491.

It is an interprime number because it is at equal distance from previous prime (1945946857) and next prime (1945946903).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354396 + ... + 359844.

Almost surely, 2^1945946880 is an apocalyptic number.

1945946880 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 1945946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475617600).

1945946880 is an abundant number, since it is smaller than the sum of its proper divisors (5005288320).

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

1945946880 is a wasteful number, since it uses less digits than its factorization.

1945946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1945946880 is about 44112.8879127178. The cubic root of 1945946880 is about 1248.4667879108.

The spelling of 1945946880 in words is "one billion, nine hundred forty-five million, nine hundred forty-six thousand, eight hundred eighty".