1945091720 has 256 divisors, whose sum is σ = 5532468480. Its totient is φ = 604569600.

The previous prime is 1945091719. The next prime is 1945091767. The reversal of 1945091720 is 271905491.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8070800 + ... + 8071040.

It is an arithmetic number, because the mean of its divisors is an integer number (21611205).

Almost surely, 2^1945091720 is an apocalyptic number.

1945091720 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 1945091720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766234240).

1945091720 is an abundant number, since it is smaller than the sum of its proper divisors (3587376760).

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

1945091720 is a wasteful number, since it uses less digits than its factorization.

1945091720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 1945091720 is about 44103.1939886444. The cubic root of 1945091720 is about 1248.2838786201.

The spelling of 1945091720 in words is "one billion, nine hundred forty-five million, ninety-one thousand, seven hundred twenty".