2780954280 has 288 divisors, whose sum is σ = 9981808200. Its totient is φ = 667487232.

The previous prime is 2780954279. The next prime is 2780954291. The reversal of 2780954280 is 824590872.

2780954280 is a `hidden beast` number, since 27 + 8 + 0 + 9 + 542 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1015441956 + 1765512324 = 31866^2 + 42018^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10337986 + ... + 10338254.

Almost surely, 2^2780954280 is an apocalyptic number.

2780954280 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 2780954280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990904100).

2780954280 is an abundant number, since it is smaller than the sum of its proper divisors (7200853920).

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

2780954280 is a wasteful number, since it uses less digits than its factorization.

2780954280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2780954280 is about 52734.7540053047. The cubic root of 2780954280 is about 1406.2567378640.

The spelling of 2780954280 in words is "two billion, seven hundred eighty million, nine hundred fifty-four thousand, two hundred eighty".