2845887264 has 192 divisors, whose sum is σ = 9300977280. Its totient is φ = 838978560.

The previous prime is 2845887263. The next prime is 2845887269. The reversal of 2845887264 is 4627885482.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2845887264.

It is not an unprimeable number, because it can be changed into a prime (2845887263) 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, 347602 + ... + 355694.

It is an arithmetic number, because the mean of its divisors is an integer number (48442590).

Almost surely, 2^2845887264 is an apocalyptic number.

2845887264 is a gapful number since it is divisible by the number (24) 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 2845887264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650488640).

2845887264 is an abundant number, since it is smaller than the sum of its proper divisors (6455090016).

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

2845887264 is a wasteful number, since it uses less digits than its factorization.

2845887264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8146 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 2845887264 is about 53346.8580518103. The cubic root of 2845887264 is about 1417.1176180871.

The spelling of 2845887264 in words is "two billion, eight hundred forty-five million, eight hundred eighty-seven thousand, two hundred sixty-four".