2611203960 has 128 divisors (see below), whose sum is σ = 8105126400. Its totient is φ = 672468480.

The previous prime is 2611203949. The next prime is 2611203967. The reversal of 2611203960 is 693021162.

It is a super-2 number, since 2×2611203960² = 13636772241439363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2611203967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615045 + ... + 619275.

It is an arithmetic number, because the mean of its divisors is an integer number (63321300).

Almost surely, 2^2611203960 is an apocalyptic number.

2611203960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611203960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052563200).

2611203960 is an abundant number, since it is smaller than the sum of its proper divisors (5493922440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2611203960 is a wasteful number, since it uses less digits than its factorization.

2611203960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2611203960 is about 51099.9409001615. The cubic root of 2611203960 is about 1377.0411926949.

The spelling of 2611203960 in words is "two billion, six hundred eleven million, two hundred three thousand, nine hundred sixty".