1945714560 has 256 divisors, whose sum is σ = 6488424000. Its totient is φ = 495452160.

The previous prime is 1945714553. The next prime is 1945714571. The reversal of 1945714560 is 654175491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4333216 + ... + 4333664.

Almost surely, 2^1945714560 is an apocalyptic number.

1945714560 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 1945714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244212000).

1945714560 is an abundant number, since it is smaller than the sum of its proper divisors (4542709440).

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

1945714560 is a wasteful number, since it uses less digits than its factorization.

1945714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 1945714560 is about 44110.2545900610. The cubic root of 1945714560 is about 1248.4171025279.

The spelling of 1945714560 in words is "one billion, nine hundred forty-five million, seven hundred fourteen thousand, five hundred sixty".