2895283440 has 800 divisors, whose sum is σ = 12444917760. Its totient is φ = 609638400.

The previous prime is 2895283427. The next prime is 2895283453. The reversal of 2895283440 is 443825982.

2895283440 is a `hidden beast` number, since 2 + 89 + 52 + 83 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2895283427) and next prime (2895283453).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40778605 + ... + 40778675.

Almost surely, 2^2895283440 is an apocalyptic number.

2895283440 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 2895283440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222458880).

2895283440 is an abundant number, since it is smaller than the sum of its proper divisors (9549634320).

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

2895283440 is a wasteful number, since it uses less digits than its factorization.

2895283440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2895283440 is about 53807.8380907466. The cubic root of 2895283440 is about 1425.2696221122.

The spelling of 2895283440 in words is "two billion, eight hundred ninety-five million, two hundred eighty-three thousand, four hundred forty".