2896232483424 has 576 divisors, whose sum is σ = 9775499489280. Its totient is φ = 745170370560.

The previous prime is 2896232483411. The next prime is 2896232483437. The reversal of 2896232483424 is 4243842326982.

It is an interprime number because it is at equal distance from previous prime (2896232483411) and next prime (2896232483437).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220625149 + ... + 220638275.

It is an arithmetic number, because the mean of its divisors is an integer number (16971353280).

Almost surely, 2^{2896232483424} is an apocalyptic number.

2896232483424 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 2896232483424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887749744640).

2896232483424 is an abundant number, since it is smaller than the sum of its proper divisors (6879267005856).

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

2896232483424 is a wasteful number, since it uses less digits than its factorization.

2896232483424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291 (or 13276 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 57.

The spelling of 2896232483424 in words is "two trillion, eight hundred ninety-six billion, two hundred thirty-two million, four hundred eighty-three thousand, four hundred twenty-four".