2839457280 has 640 divisors, whose sum is σ = 10960012800. Its totient is φ = 619315200.

The previous prime is 2839457279. The next prime is 2839457287. The reversal of 2839457280 is 827549382.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2839457287) 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, 46548450 + ... + 46548510.

It is an arithmetic number, because the mean of its divisors is an integer number (17125020).

Almost surely, 2^2839457280 is an apocalyptic number.

2839457280 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 2839457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480006400).

2839457280 is an abundant number, since it is smaller than the sum of its proper divisors (8120555520).

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

2839457280 is a wasteful number, since it uses less digits than its factorization.

2839457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 2839457280 is about 53286.5581549419. The cubic root of 2839457280 is about 1416.0495370330.

The spelling of 2839457280 in words is "two billion, eight hundred thirty-nine million, four hundred fifty-seven thousand, two hundred eighty".