2776057440 has 384 divisors, whose sum is σ = 9884270592. Its totient is φ = 650280960.

The previous prime is 2776057429. The next prime is 2776057447. The reversal of 2776057440 is 447506772.

It is a junction number, because it is equal to n+sod(n) for n = 2776057392 and 2776057401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2776057447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21858657 + ... + 21858783.

It is an arithmetic number, because the mean of its divisors is an integer number (25740288).

Almost surely, 2^2776057440 is an apocalyptic number.

2776057440 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 2776057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942135296).

2776057440 is an abundant number, since it is smaller than the sum of its proper divisors (7108213152).

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

2776057440 is a wasteful number, since it uses less digits than its factorization.

2776057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The square root of 2776057440 is about 52688.3045846040. The cubic root of 2776057440 is about 1405.4308510916.

The spelling of 2776057440 in words is "two billion, seven hundred seventy-six million, fifty-seven thousand, four hundred forty".