1945270080 has 560 divisors, whose sum is σ = 7806927744. Its totient is φ = 456192000.

The previous prime is 1945270073. The next prime is 1945270081. The reversal of 1945270080 is 800725491.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945270081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7749955 + ... + 7750205.

Almost surely, 2^1945270080 is an apocalyptic number.

1945270080 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 1945270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903463872).

1945270080 is an abundant number, since it is smaller than the sum of its proper divisors (5861657664).

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

1945270080 is a wasteful number, since it uses less digits than its factorization.

1945270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1945270080 is about 44105.2160180630. The cubic root of 1945270080 is about 1248.3220322807.

The spelling of 1945270080 in words is "one billion, nine hundred forty-five million, two hundred seventy thousand, eighty".