2838758400 has 495 divisors, whose sum is σ = 10803363879. Its totient is φ = 736542720.

The previous prime is 2838758393. The next prime is 2838758401. The reversal of 2838758400 is 48578382.

The square root of 2838758400 is 53280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 269485056 + 2569273344 = 16416^2 + 50688^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2838758401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 76723182 + ... + 76723218.

Almost surely, 2^2838758400 is an apocalyptic number.

2838758400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2838758400 is the 53280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838758400

2838758400 is an abundant number, since it is smaller than the sum of its proper divisors (7964605479).

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

2838758400 is an equidigital number, since it uses as much as digits as its factorization.

2838758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The cubic root of 2838758400 is about 1415.9333493477.

The spelling of 2838758400 in words is "two billion, eight hundred thirty-eight million, seven hundred fifty-eight thousand, four hundred".