2775429072 has 120 divisors (see below), whose sum is σ = 8569092168. Its totient is φ = 833126400.

The previous prime is 2775429053. The next prime is 2775429073. The reversal of 2775429072 is 2709245772.

It can be written as a sum of positive squares in 4 ways, for example, as 15397776 + 2760031296 = 3924^2 + 52536^2 .

It is a super-3 number, since 3×2775429072³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2775429073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58672 + ... + 94832.

Almost surely, 2^2775429072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2775429072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284546084).

2775429072 is an abundant number, since it is smaller than the sum of its proper divisors (5793663096).

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

2775429072 is a wasteful number, since it uses less digits than its factorization.

2775429072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36229 (or 36220 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 2775429072 is about 52682.3411780456. The cubic root of 2775429072 is about 1405.3248020835.

The spelling of 2775429072 in words is "two billion, seven hundred seventy-five million, four hundred twenty-nine thousand, seventy-two".