2836814400 has 840 divisors, whose sum is σ = 12347691840. Its totient is φ = 625397760.

The previous prime is 2836814353. The next prime is 2836814401. The reversal of 2836814400 is 44186382.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2836814401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48081571 + ... + 48081629.

Almost surely, 2^2836814400 is an apocalyptic number.

2836814400 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 2836814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173845920).

2836814400 is an abundant number, since it is smaller than the sum of its proper divisors (9510877440).

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

2836814400 is a wasteful number, since it uses less digits than its factorization.

2836814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2836814400 is about 53261.7536324143. The cubic root of 2836814400 is about 1415.6100621203.

The spelling of 2836814400 in words is "two billion, eight hundred thirty-six million, eight hundred fourteen thousand, four hundred".