2863942400 has 216 divisors, whose sum is σ = 8191444464. Its totient is φ = 979763200.

The previous prime is 2863942331. The next prime is 2863942429. The reversal of 2863942400 is 42493682.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195604 + ... + 1197996.

It is an arithmetic number, because the mean of its divisors is an integer number (37923354).

Almost surely, 2^2863942400 is an apocalyptic number.

2863942400 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 2863942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095722232).

2863942400 is an abundant number, since it is smaller than the sum of its proper divisors (5327502064).

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

2863942400 is a wasteful number, since it uses less digits than its factorization.

2863942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 2863942400 is about 53515.8144850660. The cubic root of 2863942400 is about 1420.1081713536.

The spelling of 2863942400 in words is "two billion, eight hundred sixty-three million, nine hundred forty-two thousand, four hundred".