2002262361624 has 288 divisors, whose sum is σ = 6735506469120. Its totient is φ = 534475573632.

The previous prime is 2002262361611. The next prime is 2002262361689. The reversal of 2002262361624 is 4261632622002.

2002262361624 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 2 + 6 + 23 + 6 + 1 + 624 = 666.

It is a super-2 number, since 2×2002262361624² (a number of 25 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3202269 + ... + 3776115.

It is an arithmetic number, because the mean of its divisors is an integer number (23387175240).

Almost surely, 2^{2002262361624} is an apocalyptic number.

2002262361624 is a gapful number since it is divisible by the number (24) 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 2002262361624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367753234560).

2002262361624 is an abundant number, since it is smaller than the sum of its proper divisors (4733244107496).

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

2002262361624 is a wasteful number, since it uses less digits than its factorization.

2002262361624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573939 (or 573925 counting only the distinct ones).

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

Adding to 2002262361624 its reverse (4261632622002), we get a palindrome (6263894983626).

The spelling of 2002262361624 in words is "two trillion, two billion, two hundred sixty-two million, three hundred sixty-one thousand, six hundred twenty-four".