2661505140 has 48 divisors (see below), whose sum is σ = 8516817792. Its totient is φ = 608343936.

The previous prime is 2661505129. The next prime is 2661505153. The reversal of 2661505140 is 415051662.

2661505140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2661505140² = 14167219220492839200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2661505098 and 2661505107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3168039 + ... + 3168878.

It is an arithmetic number, because the mean of its divisors is an integer number (177433704).

Almost surely, 2^2661505140 is an apocalyptic number.

2661505140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2661505140 is an abundant number, since it is smaller than the sum of its proper divisors (5855312652).

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

2661505140 is a wasteful number, since it uses less digits than its factorization.

2661505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336936 (or 6336934 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2661505140 is about 51589.7774757752. Note that the first 3 decimals coincide. The cubic root of 2661505140 is about 1385.8272701503.

The spelling of 2661505140 in words is "two billion, six hundred sixty-one million, five hundred five thousand, one hundred forty".