2601918081 has 45 divisors (see below), whose sum is σ = 4397124641. Its totient is φ = 1482525576.

The previous prime is 2601918061. The next prime is 2601918103. The reversal of 2601918081 is 1808191062.

The square root of 2601918081 is 51009.

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

It is not a de Polignac number, because 2601918081 - 2⁹ = 2601917569 is a prime.

It is a super-2 number, since 2×2601918081² = 13539955400469445122, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2601918031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7498150 + ... + 7498496.

Almost surely, 2^2601918081 is an apocalyptic number.

2601918081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2601918081 is the 51009-th square number.

2601918081 is the 25505-th centered octagonal number.

It is an amenable number.

2601918081 is a deficient number, since it is larger than the sum of its proper divisors (1795206560).

2601918081 is an frugal number, since it uses more digits than its factorization.

2601918081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The cubic root of 2601918081 is about 1375.4069241450.

Multiplying 2601918081 by its sum of digits (36), we get a square (93669050916 = 306054²).

It can be divided in two parts, 26019 and 18081, that added together give a square (44100 = 210²).

The spelling of 2601918081 in words is "two billion, six hundred one million, nine hundred eighteen thousand, eighty-one".