2661405012 has 432 divisors, whose sum is σ = 9097583040. Its totient is φ = 674085888.

The previous prime is 2661405011. The next prime is 2661405013. The reversal of 2661405012 is 2105041662.

It is an interprime number because it is at equal distance from previous prime (2661405011) and next prime (2661405013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661405011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15383758 + ... + 15383930.

It is an arithmetic number, because the mean of its divisors is an integer number (21059220).

Almost surely, 2^2661405012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661405012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548791520).

2661405012 is an abundant number, since it is smaller than the sum of its proper divisors (6436178028).

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

2661405012 is a wasteful number, since it uses less digits than its factorization.

2661405012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2661405012 is about 51588.8070418381. The cubic root of 2661405012 is about 1385.8098912806.

Adding to 2661405012 its reverse (2105041662), we get a palindrome (4766446674).

The spelling of 2661405012 in words is "two billion, six hundred sixty-one million, four hundred five thousand, twelve".