2774413840 has 60 divisors (see below), whose sum is σ = 7090257132. Its totient is φ = 1008874240.

The previous prime is 2774413819. The next prime is 2774413841. The reversal of 2774413840 is 483144772.

It can be written as a sum of positive squares in 2 ways, for example, as 1034522896 + 1739890944 = 32164^2 + 41712^2 .

It is a super-3 number, since 3×2774413840³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2774413793 and 2774413802.

It is not an unprimeable number, because it can be changed into a prime (2774413841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133627 + ... + 152986.

Almost surely, 2^2774413840 is an apocalyptic number.

2774413840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2774413840 is an abundant number, since it is smaller than the sum of its proper divisors (4315843292).

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

2774413840 is a wasteful number, since it uses less digits than its factorization.

2774413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286648 (or 286631 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The square root of 2774413840 is about 52672.7048859274. The cubic root of 2774413840 is about 1405.1534286165.

It can be divided in two parts, 2774 and 413840, that added together give a palindrome (416614).

The spelling of 2774413840 in words is "two billion, seven hundred seventy-four million, four hundred thirteen thousand, eight hundred forty".