2896801600 has 252 divisors, whose sum is σ = 9048170880. Its totient is φ = 902630400.

The previous prime is 2896801591. The next prime is 2896801601. The reversal of 2896801600 is 61086982.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2896801601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 860721 + ... + 864079.

It is an arithmetic number, because the mean of its divisors is an integer number (35905440).

Almost surely, 2^2896801600 is an apocalyptic number.

2896801600 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 2896801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524085440).

2896801600 is an abundant number, since it is smaller than the sum of its proper divisors (6151369280).

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

2896801600 is a wasteful number, since it uses less digits than its factorization.

2896801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 2896801600 is about 53821.9434803315. The cubic root of 2896801600 is about 1425.5186949331.

The spelling of 2896801600 in words is "two billion, eight hundred ninety-six million, eight hundred one thousand, six hundred".