2578772601 has 12 divisors (see below), whose sum is σ = 3727940580. Its totient is φ = 1717775520.

The previous prime is 2578772591. The next prime is 2578772617. The reversal of 2578772601 is 1062778752.

2578772601 is a `hidden beast` number, since 2 + 578 + 7 + 72 + 6 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2090318400 + 488454201 = 45720^2 + 22101^2 .

It is not a de Polignac number, because 2578772601 - 2⁹ = 2578772089 is a prime.

It is a super-3 number, since 3×2578772601³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2578672601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105510 + ... + 127631.

It is an arithmetic number, because the mean of its divisors is an integer number (310661715).

Almost surely, 2^2578772601 is an apocalyptic number.

It is an amenable number.

2578772601 is a deficient number, since it is larger than the sum of its proper divisors (1149167979).

2578772601 is a wasteful number, since it uses less digits than its factorization.

2578772601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234376 (or 234373 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 2578772601 is about 50781.6167623679. The cubic root of 2578772601 is about 1371.3164395253.

The spelling of 2578772601 in words is "two billion, five hundred seventy-eight million, seven hundred seventy-two thousand, six hundred one".