2780032320 has 448 divisors, whose sum is σ = 10784067840. Its totient is φ = 669966336.

The previous prime is 2780032303. The next prime is 2780032327. The reversal of 2780032320 is 232300872.

2780032320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780032327) 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, 5952727 + ... + 5953193.

It is an arithmetic number, because the mean of its divisors is an integer number (24071580).

Almost surely, 2^2780032320 is an apocalyptic number.

2780032320 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 2780032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392033920).

2780032320 is an abundant number, since it is smaller than the sum of its proper divisors (8004035520).

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

2780032320 is a wasteful number, since it uses less digits than its factorization.

2780032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2780032320 is about 52726.0117968352. The cubic root of 2780032320 is about 1406.1013169025.

The spelling of 2780032320 in words is "two billion, seven hundred eighty million, thirty-two thousand, three hundred twenty".