2836400544 has 96 divisors (see below), whose sum is σ = 8289973440. Its totient is φ = 943508736.

The previous prime is 2836400533. The next prime is 2836400551. The reversal of 2836400544 is 4450046382.

2836400544 is a `hidden beast` number, since 2 + 8 + 3 + 640 + 0 + 5 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2836400499 and 2836400508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448734 + ... + 455010.

It is an arithmetic number, because the mean of its divisors is an integer number (86353890).

Almost surely, 2^2836400544 is an apocalyptic number.

2836400544 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 2836400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144986720).

2836400544 is an abundant number, since it is smaller than the sum of its proper divisors (5453572896).

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

2836400544 is a wasteful number, since it uses less digits than its factorization.

2836400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2836400544 is about 53257.8683764193. The cubic root of 2836400544 is about 1415.5412187950.

The spelling of 2836400544 in words is "two billion, eight hundred thirty-six million, four hundred thousand, five hundred forty-four".