2776552249 has 27 divisors (see below), whose sum is σ = 3044591823. Its totient is φ = 2531793264.

The previous prime is 2776552243. The next prime is 2776552277. The reversal of 2776552249 is 9422556772.

It is a happy number.

The square root of 2776552249 is 52693.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1455956649 + 1320595600 = 38157^2 + 36340^2 .

It is not a de Polignac number, because 2776552249 - 2³ = 2776552241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2776552241) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 35146192 + ... + 35146270.

Almost surely, 2^2776552249 is an apocalyptic number.

2776552249 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2776552249 is the 52693-rd square number.

2776552249 is the 26347-th centered octagonal number.

It is an amenable number.

2776552249 is a deficient number, since it is larger than the sum of its proper divisors (268039574).

2776552249 is an frugal number, since it uses more digits than its factorization.

2776552249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 49.

The cubic root of 2776552249 is about 1405.5143482256.

Multiplying 2776552249 by its sum of digits (49), we get a square (136051060201 = 368851²).

It can be divided in two parts, 2776 and 552249, that added together give a square (555025 = 745²).

The spelling of 2776552249 in words is "two billion, seven hundred seventy-six million, five hundred fifty-two thousand, two hundred forty-nine".