2895389952 has 288 divisors, whose sum is σ = 10046276352. Its totient is φ = 718405632.

The previous prime is 2895389951. The next prime is 2895389953. The reversal of 2895389952 is 2599835982.

It is an interprime number because it is at equal distance from previous prime (2895389951) and next prime (2895389953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2895389951) 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, 1186878 + ... + 1189314.

It is an arithmetic number, because the mean of its divisors is an integer number (34882904).

Almost surely, 2^2895389952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2895389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023138176).

2895389952 is an abundant number, since it is smaller than the sum of its proper divisors (7150886400).

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

2895389952 is a wasteful number, since it uses less digits than its factorization.

2895389952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2479 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 60.

The square root of 2895389952 is about 53808.8278259246. The cubic root of 2895389952 is about 1425.2870995555.

The spelling of 2895389952 in words is "two billion, eight hundred ninety-five million, three hundred eighty-nine thousand, nine hundred fifty-two".