2664012241620 has 168 divisors, whose sum is σ = 8406017512200. Its totient is φ = 708860471040.

The previous prime is 2664012241619. The next prime is 2664012241621. The reversal of 2664012241620 is 261422104662.

2664012241620 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 0 + 1 + 2 + 24 + 1 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (2664012241619) and next prime (2664012241621).

It can be written as a sum of positive squares in 4 ways, for example, as 15412229316 + 2648600012304 = 124146^2 + 1627452^2 .

It is a super-2 number, since 2×2664012241620² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664012241621) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6523206 + ... + 6919554.

It is an arithmetic number, because the mean of its divisors is an integer number (50035818525).

Almost surely, 2^{2664012241620} is an apocalyptic number.

2664012241620 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 2664012241620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203008756100).

2664012241620 is an abundant number, since it is smaller than the sum of its proper divisors (5742005270580).

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

2664012241620 is a wasteful number, since it uses less digits than its factorization.

2664012241620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396837 (or 396820 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2664012241620 in words is "two trillion, six hundred sixty-four billion, twelve million, two hundred forty-one thousand, six hundred twenty".