2784834480 has 160 divisors (see below), whose sum is σ = 9033993216. Its totient is φ = 708314112.

The previous prime is 2784834469. The next prime is 2784834511. The reversal of 2784834480 is 844384872.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3383349 + ... + 3384171.

Almost surely, 2^2784834480 is an apocalyptic number.

2784834480 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 2784834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516996608).

2784834480 is an abundant number, since it is smaller than the sum of its proper divisors (6249158736).

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

2784834480 is a wasteful number, since it uses less digits than its factorization.

2784834480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The square root of 2784834480 is about 52771.5309613053. The cubic root of 2784834480 is about 1406.9104728783.

The spelling of 2784834480 in words is "two billion, seven hundred eighty-four million, eight hundred thirty-four thousand, four hundred eighty".