2838752000 has 576 divisors, whose sum is σ = 9183283200. Its totient is φ = 851558400.

The previous prime is 2838751991. The next prime is 2838752003. The reversal of 2838752000 is 2578382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838752003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97887986 + ... + 97888014.

It is an arithmetic number, because the mean of its divisors is an integer number (15943200).

Almost surely, 2^2838752000 is an apocalyptic number.

2838752000 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 2838752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591641600).

2838752000 is an abundant number, since it is smaller than the sum of its proper divisors (6344531200).

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

2838752000 is a wasteful number, since it uses less digits than its factorization.

2838752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 2838752000 is about 53279.9399399061. The cubic root of 2838752000 is about 1415.9322852698.

The spelling of 2838752000 in words is "two billion, eight hundred thirty-eight million, seven hundred fifty-two thousand".