1945292160 has 768 divisors, whose sum is σ = 8037273600. Its totient is φ = 397393920.

The previous prime is 1945292149. The next prime is 1945292177. The reversal of 1945292160 is 612925491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62751345 + ... + 62751375.

It is an arithmetic number, because the mean of its divisors is an integer number (10465200).

Almost surely, 2^1945292160 is an apocalyptic number.

1945292160 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 1945292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018636800).

1945292160 is an abundant number, since it is smaller than the sum of its proper divisors (6091981440).

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

1945292160 is a wasteful number, since it uses less digits than its factorization.

1945292160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1945292160 is about 44105.4663278828. The cubic root of 1945292160 is about 1248.3267553346.

The spelling of 1945292160 in words is "one billion, nine hundred forty-five million, two hundred ninety-two thousand, one hundred sixty".