2767286025 has 135 divisors (see below), whose sum is σ = 5998782999. Its totient is φ = 1257469920.

The previous prime is 2767286003. The next prime is 2767286089. The reversal of 2767286025 is 5206827672.

The square root of 2767286025 is 52605.

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

2767286025 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 996222969 + 1771063056 = 31563^2 + 42084^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2767286025 - 2⁹ = 2767285513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16570492 + ... + 16570658.

Almost surely, 2^2767286025 is an apocalyptic number.

2767286025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2767286025 is the 52605-th square number.

2767286025 is the 26303-rd centered octagonal number.

It is an amenable number.

2767286025 is an abundant number, since it is smaller than the sum of its proper divisors (3231496974).

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

2767286025 is an equidigital number, since it uses as much as digits as its factorization.

2767286025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The cubic root of 2767286025 is about 1403.9490585287.

The spelling of 2767286025 in words is "two billion, seven hundred sixty-seven million, two hundred eighty-six thousand, twenty-five".