2888294400 has 252 divisors, whose sum is σ = 10352483232. Its totient is φ = 769720320.

The previous prime is 2888294393. The next prime is 2888294447. The reversal of 2888294400 is 44928882.

It is a happy number.

2888294400 is a `hidden beast` number, since 2 + 88 + 82 + 94 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1842417 + ... + 1843983.

Almost surely, 2^2888294400 is an apocalyptic number.

2888294400 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 2888294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176241616).

2888294400 is an abundant number, since it is smaller than the sum of its proper divisors (7464188832).

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

2888294400 is a wasteful number, since it uses less digits than its factorization.

2888294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2888294400 is about 53742.8544087491. The cubic root of 2888294400 is about 1424.1218597057.

The spelling of 2888294400 in words is "two billion, eight hundred eighty-eight million, two hundred ninety-four thousand, four hundred".