2885678400 has 672 divisors, whose sum is σ = 11175284736. Its totient is φ = 645120000.

The previous prime is 2885678387. The next prime is 2885678423. The reversal of 2885678400 is 48765882.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 2885678400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67108779 + ... + 67108821.

It is an arithmetic number, because the mean of its divisors is an integer number (16629888).

Almost surely, 2^2885678400 is an apocalyptic number.

2885678400 is a gapful number since it is divisible by the number (20) 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 2885678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587642368).

2885678400 is an abundant number, since it is smaller than the sum of its proper divisors (8289606336).

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

2885678400 is a wasteful number, since it uses less digits than its factorization.

2885678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 2885678400 is about 53718.5107760816. The cubic root of 2885678400 is about 1423.6917756497.

The spelling of 2885678400 in words is "two billion, eight hundred eighty-five million, six hundred seventy-eight thousand, four hundred".