2864877456 has 160 divisors (see below), whose sum is σ = 8932285440. Its totient is φ = 772941312.

The previous prime is 2864877413. The next prime is 2864877467. The reversal of 2864877456 is 6547784682.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2864877396 and 2864877405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2827606 + ... + 2828618.

It is an arithmetic number, because the mean of its divisors is an integer number (55826784).

Almost surely, 2^2864877456 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 2864877456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466142720).

2864877456 is an abundant number, since it is smaller than the sum of its proper divisors (6067407984).

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

2864877456 is a wasteful number, since it uses less digits than its factorization.

2864877456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1487 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 57.

The square root of 2864877456 is about 53524.5500308036. The cubic root of 2864877456 is about 1420.2627061397.

The spelling of 2864877456 in words is "two billion, eight hundred sixty-four million, eight hundred seventy-seven thousand, four hundred fifty-six".