2619981 has 36 divisors (see below), whose sum is σ = 4751292. Its totient is φ = 1378944.

The previous prime is 2619973. The next prime is 2619997. The reversal of 2619981 is 1899162.

It can be written as a sum of positive squares in 2 ways, for example, as 1334025 + 1285956 = 1155^2 + 1134^2 .

It is not a de Polignac number, because 2619981 - 2³ = 2619973 is a prime.

It is a super-2 number, since 2×2619981² = 13728600880722, which contains 22 as substring.

2619981 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2619931) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5505 + ... + 5961.

2^2619981 is an apocalyptic number.

2619981 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2619981 is a deficient number, since it is larger than the sum of its proper divisors (2131311).

2619981 is a wasteful number, since it uses less digits than its factorization.

With its successor (2619982) it forms an eRAP, since the sums of their prime factors are consecutive (490 and 491).

2619981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 2619981 is about 1618.6355364936. The cubic root of 2619981 is about 137.8582350095.

It can be divided in two parts, 2619 and 981, that added together give a square (3600 = 60²).

The spelling of 2619981 in words is "two million, six hundred nineteen thousand, nine hundred eighty-one".