2853579456 has 560 divisors, whose sum is σ = 10904914944. Its totient is φ = 717133824.

The previous prime is 2853579437. The next prime is 2853579493. The reversal of 2853579456 is 6549753582.

2853579456 is a `hidden beast` number, since 28 + 5 + 3 + 579 + 45 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10849981 + ... + 10850243.

Almost surely, 2^2853579456 is an apocalyptic number.

2853579456 is a gapful number since it is divisible by the number (26) 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 2853579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452457472).

2853579456 is an abundant number, since it is smaller than the sum of its proper divisors (8051335488).

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

2853579456 is a wasteful number, since it uses less digits than its factorization.

2853579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 2853579456 is about 53418.9054174643. The cubic root of 2853579456 is about 1418.3932523922.

The spelling of 2853579456 in words is "two billion, eight hundred fifty-three million, five hundred seventy-nine thousand, four hundred fifty-six".