2774053223040 has 512 divisors, whose sum is σ = 10083535257600. Its totient is φ = 642554265600.

The previous prime is 2774053223033. The next prime is 2774053223093. The reversal of 2774053223040 is 403223504772.

It is a super-2 number, since 2×2774053223040² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2774053223040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51696064 + ... + 51749696.

It is an arithmetic number, because the mean of its divisors is an integer number (19694404800).

Almost surely, 2^{2774053223040} is an apocalyptic number.

2774053223040 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 2774053223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041767628800).

2774053223040 is an abundant number, since it is smaller than the sum of its proper divisors (7309482034560).

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

2774053223040 is a wasteful number, since it uses less digits than its factorization.

2774053223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53776 (or 53764 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 39.

The spelling of 2774053223040 in words is "two trillion, seven hundred seventy-four billion, fifty-three million, two hundred twenty-three thousand, forty".