2768247078025 has 135 divisors (see below), whose sum is σ = 4110424689203. Its totient is φ = 1848021489600.

The previous prime is 2768247078019. The next prime is 2768247078041. The reversal of 2768247078025 is 5208707428672.

The square root of 2768247078025 is 1663805.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2716078690809 + 52168387216 = 1648053^2 + 228404^2 .

It is not a de Polignac number, because 2768247078025 - 2⁵ = 2768247077993 is a prime.

It is a Duffinian number.

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, 15465067386 + ... + 15465067564.

Almost surely, 2^{2768247078025} is an apocalyptic number.

2768247078025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2768247078025 is the 1663805-th square number.

2768247078025 is the 831903-rd centered octagonal number.

It is an amenable number.

2768247078025 is a deficient number, since it is larger than the sum of its proper divisors (1342177611178).

2768247078025 is an frugal number, since it uses more digits than its factorization.

2768247078025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 58.

The spelling of 2768247078025 in words is "two trillion, seven hundred sixty-eight billion, two hundred forty-seven million, seventy-eight thousand, twenty-five".