2886961100400 has 960 divisors, whose sum is σ = 11738173708800. Its totient is φ = 667615150080.

The previous prime is 2886961100377. The next prime is 2886961100407. The reversal of 2886961100400 is 40011696882.

2886961100400 is a `hidden beast` number, since 2 + 8 + 86 + 9 + 61 + 100 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2886961100407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2432148607 + ... + 2432149793.

It is an arithmetic number, because the mean of its divisors is an integer number (12227264280).

Almost surely, 2^{2886961100400} is an apocalyptic number.

2886961100400 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 2886961100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869086854400).

2886961100400 is an abundant number, since it is smaller than the sum of its proper divisors (8851212608400).

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

2886961100400 is a wasteful number, since it uses less digits than its factorization.

2886961100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2886961100400 in words is "two trillion, eight hundred eighty-six billion, nine hundred sixty-one million, one hundred thousand, four hundred".