1997854560 has 576 divisors, whose sum is σ = 7974832320. Its totient is φ = 451215360.

The previous prime is 1997854549. The next prime is 1997854591. The reversal of 1997854560 is 654587991.

1997854560 is a `hidden beast` number, since 1 + 9 + 9 + 78 + 5 + 4 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1997854497 and 1997854506.

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, 14582812 + ... + 14582948.

It is an arithmetic number, because the mean of its divisors is an integer number (13845195).

Almost surely, 2^1997854560 is an apocalyptic number.

1997854560 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 1997854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987416160).

1997854560 is an abundant number, since it is smaller than the sum of its proper divisors (5976977760).

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

1997854560 is a wasteful number, since it uses less digits than its factorization.

1997854560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 1997854560 is about 44697.3663653688. The cubic root of 1997854560 is about 1259.4703745374.

The spelling of 1997854560 in words is "one billion, nine hundred ninety-seven million, eight hundred fifty-four thousand, five hundred sixty".