2778997536 has 144 divisors (see below), whose sum is σ = 9146592000. Its totient is φ = 783903744.

The previous prime is 2778997519. The next prime is 2778997537. The reversal of 2778997536 is 6357998772.

2778997536 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 9 + 97 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2778997537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150540 + ... + 167988.

It is an arithmetic number, because the mean of its divisors is an integer number (63518000).

Almost surely, 2^2778997536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778997536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573296000).

2778997536 is an abundant number, since it is smaller than the sum of its proper divisors (6367594464).

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

2778997536 is a wasteful number, since it uses less digits than its factorization.

2778997536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17551 (or 17540 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The square root of 2778997536 is about 52716.1980419681. The cubic root of 2778997536 is about 1405.9268355124.

The spelling of 2778997536 in words is "two billion, seven hundred seventy-eight million, nine hundred ninety-seven thousand, five hundred thirty-six".