2776625280 has 384 divisors, whose sum is σ = 11267605440. Its totient is φ = 621158400.

The previous prime is 2776625273. The next prime is 2776625359. The reversal of 2776625280 is 825266772.

2776625280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821995 + ... + 825365.

Almost surely, 2^2776625280 is an apocalyptic number.

2776625280 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 2776625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633802720).

2776625280 is an abundant number, since it is smaller than the sum of its proper divisors (8490980160).

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

2776625280 is a wasteful number, since it uses less digits than its factorization.

2776625280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2776625280 is about 52693.6929812288. The cubic root of 2776625280 is about 1405.5266710886.

The spelling of 2776625280 in words is "two billion, seven hundred seventy-six million, six hundred twenty-five thousand, two hundred eighty".