2787945601 has 27 divisors (see below), whose sum is σ = 3431438019. Its totient is φ = 2258193168.

The previous prime is 2787945571. The next prime is 2787945607. The reversal of 2787945601 is 1065497872.

The square root of 2787945601 is 52801.

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., 1868400625 + 919544976 = 43225^2 + 30324^2 .

It is not a de Polignac number, because 2787945601 - 2⁹ = 2787945089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2787945607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7022335 + ... + 7022731.

It is an arithmetic number, because the mean of its divisors is an integer number (127090297).

Almost surely, 2^2787945601 is an apocalyptic number.

2787945601 is the 52801-st square number.

2787945601 is the 26401-st centered octagonal number.

It is an amenable number.

2787945601 is a deficient number, since it is larger than the sum of its proper divisors (643492418).

2787945601 is an frugal number, since it uses more digits than its factorization.

2787945601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The cubic root of 2787945601 is about 1407.4341951784.

Multiplying 2787945601 by its sum of digits (49), we get a square (136609334449 = 369607²).

2787945601 divided by its sum of digits (49) gives a square (56896849 = 7543²).

The spelling of 2787945601 in words is "two billion, seven hundred eighty-seven million, nine hundred forty-five thousand, six hundred one".