2773142406 has 80 divisors (see below), whose sum is σ = 6310537200. Its totient is φ = 910128960.

The previous prime is 2773142399. The next prime is 2773142419. The reversal of 2773142406 is 6042413772.

It is a super-3 number, since 3×2773142406³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3161640 + ... + 3162516.

It is an arithmetic number, because the mean of its divisors is an integer number (78881715).

Almost surely, 2^2773142406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2773142406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155268600).

2773142406 is an abundant number, since it is smaller than the sum of its proper divisors (3537394794).

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

2773142406 is a wasteful number, since it uses less digits than its factorization.

2773142406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2773142406 is about 52660.6343106499. The cubic root of 2773142406 is about 1404.9387486965.

The spelling of 2773142406 in words is "two billion, seven hundred seventy-three million, one hundred forty-two thousand, four hundred six".