2896838400 has 324 divisors, whose sum is σ = 9941431416. Its totient is φ = 742809600.

The previous prime is 2896838387. The next prime is 2896838419. The reversal of 2896838400 is 48386982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2896838400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18451122 + ... + 18451278.

Almost surely, 2^2896838400 is an apocalyptic number.

2896838400 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 2896838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970715708).

2896838400 is an abundant number, since it is smaller than the sum of its proper divisors (7044593016).

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

2896838400 is a wasteful number, since it uses less digits than its factorization.

2896838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2896838400 is about 53822.2853472425. The cubic root of 2896838400 is about 1425.5247313453.

The spelling of 2896838400 in words is "two billion, eight hundred ninety-six million, eight hundred thirty-eight thousand, four hundred".