2018954560 has 224 divisors, whose sum is σ = 5692981248. Its totient is φ = 667699200.

The previous prime is 2018954557. The next prime is 2018954569. The reversal of 2018954560 is 654598102.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018954569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13370485 + ... + 13370635.

Almost surely, 2^2018954560 is an apocalyptic number.

2018954560 is a gapful number since it is divisible by the number (20) 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 2018954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846490624).

2018954560 is an abundant number, since it is smaller than the sum of its proper divisors (3674026688).

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

2018954560 is a wasteful number, since it uses less digits than its factorization.

2018954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 2018954560 is about 44932.7782359382. The cubic root of 2018954560 is about 1263.8887500228. Note that the first 3 decimals are identical.

The spelling of 2018954560 in words is "two billion, eighteen million, nine hundred fifty-four thousand, five hundred sixty".