2845575040 has 384 divisors, whose sum is σ = 8828442720. Its totient is φ = 867041280.

The previous prime is 2845575011. The next prime is 2845575041. The reversal of 2845575040 is 405755482.

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

It is a junction number, because it is equal to n+sod(n) for n = 2845574984 and 2845575002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2845575041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25182024 + ... + 25182136.

Almost surely, 2^2845575040 is an apocalyptic number.

2845575040 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 2845575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414221360).

2845575040 is an abundant number, since it is smaller than the sum of its proper divisors (5982867680).

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

2845575040 is a wasteful number, since it uses less digits than its factorization.

2845575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 40.

The square root of 2845575040 is about 53343.9316136334. The cubic root of 2845575040 is about 1417.0657919169.

The spelling of 2845575040 in words is "two billion, eight hundred forty-five million, five hundred seventy-five thousand, forty".