2601634644 has 216 divisors, whose sum is σ = 8072675520. Its totient is φ = 691863552.

The previous prime is 2601634639. The next prime is 2601634649. The reversal of 2601634644 is 4464361062.

2601634644 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 6 + 3 + 4 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (2601634639) and next prime (2601634649).

It is a super-2 number, since 2×2601634644² = 13537005641722013472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2601634599 and 2601634608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601634649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10122964 + ... + 10123220.

Almost surely, 2^2601634644 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 2601634644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036337760).

2601634644 is an abundant number, since it is smaller than the sum of its proper divisors (5471040876).

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

2601634644 is a wasteful number, since it uses less digits than its factorization.

2601634644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2601634644 is about 51006.2216205043. The cubic root of 2601634644 is about 1375.3569795328.

The spelling of 2601634644 in words is "two billion, six hundred one million, six hundred thirty-four thousand, six hundred forty-four".