2778497280 has 216 divisors, whose sum is σ = 10353354648. Its totient is φ = 683900928.

The previous prime is 2778497269. The next prime is 2778497347. The reversal of 2778497280 is 827948772.

2778497280 is a `hidden beast` number, since 2 + 7 + 78 + 497 + 2 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51151104 + 2727346176 = 7152^2 + 52224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140484 + ... + 159036.

Almost surely, 2^2778497280 is an apocalyptic number.

2778497280 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 2778497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176677324).

2778497280 is an abundant number, since it is smaller than the sum of its proper divisors (7574857368).

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

2778497280 is a wasteful number, since it uses less digits than its factorization.

2778497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18593 (or 18576 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 2778497280 is about 52711.4530249357. The cubic root of 2778497280 is about 1405.8424686940.

The spelling of 2778497280 in words is "two billion, seven hundred seventy-eight million, four hundred ninety-seven thousand, two hundred eighty".