2896420800 has 672 divisors, whose sum is σ = 12346432000. Its totient is φ = 577290240.

The previous prime is 2896420783. The next prime is 2896420811. The reversal of 2896420800 is 80246982.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8299026 + ... + 8299374.

Almost surely, 2^2896420800 is an apocalyptic number.

2896420800 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 2896420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173216000).

2896420800 is an abundant number, since it is smaller than the sum of its proper divisors (9450011200).

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

2896420800 is a wasteful number, since it uses less digits than its factorization.

2896420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2896420800 is about 53818.4057734898. The cubic root of 2896420800 is about 1425.4562281873.

The spelling of 2896420800 in words is "two billion, eight hundred ninety-six million, four hundred twenty thousand, eight hundred".