2661267510 has 96 divisors (see below), whose sum is σ = 7558181280. Its totient is φ = 644313600.

The previous prime is 2661267503. The next prime is 2661267523. The reversal of 2661267510 is 157621662.

It is a happy number.

2661267510 is a `hidden beast` number, since 26 + 61 + 2 + 67 + 510 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1116520 + ... + 1118900.

It is an arithmetic number, because the mean of its divisors is an integer number (78731055).

Almost surely, 2^2661267510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661267510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779090640).

2661267510 is an abundant number, since it is smaller than the sum of its proper divisors (4896913770).

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

2661267510 is a wasteful number, since it uses less digits than its factorization.

2661267510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2661267510 is about 51587.4743518230. The cubic root of 2661267510 is about 1385.7860248250.

The spelling of 2661267510 in words is "two billion, six hundred sixty-one million, two hundred sixty-seven thousand, five hundred ten".