2895274368 has 480 divisors, whose sum is σ = 10341361800. Its totient is φ = 801239040.

The previous prime is 2895274337. The next prime is 2895274379. The reversal of 2895274368 is 8634725982.

2895274368 is a `hidden beast` number, since 2 + 8 + 9 + 5 + 274 + 368 = 666.

It is a super-2 number, since 2×2895274368² = 16765227331995598848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5806080) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20829243 + ... + 20829381.

Almost surely, 2^2895274368 is an apocalyptic number.

2895274368 is a gapful number since it is divisible by the number (28) 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 2895274368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170680900).

2895274368 is an abundant number, since it is smaller than the sum of its proper divisors (7446087432).

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

2895274368 is a wasteful number, since it uses less digits than its factorization.

2895274368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2895274368 is about 53807.7537906945. The cubic root of 2895274368 is about 1425.2681334773.

The spelling of 2895274368 in words is "two billion, eight hundred ninety-five million, two hundred seventy-four thousand, three hundred sixty-eight".