2002824252 has 192 divisors, whose sum is σ = 6251051520. Its totient is φ = 546393600.

The previous prime is 2002824203. The next prime is 2002824253. The reversal of 2002824252 is 2524282002.

2002824252 = 148³ + 149³ + ... + 303³.

It is a super-2 number, since 2×2002824252² = 8022609968798719008, which contains 22 as substring.

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 (2002824253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631623 + ... + 634785.

It is an arithmetic number, because the mean of its divisors is an integer number (32557560).

Almost surely, 2^2002824252 is an apocalyptic number.

2002824252 is a gapful number since it is divisible by the number (22) 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 2002824252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125525760).

2002824252 is an abundant number, since it is smaller than the sum of its proper divisors (4248227268).

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

2002824252 is a wasteful number, since it uses less digits than its factorization.

2002824252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2002824252 is about 44752.9245077905. The cubic root of 2002824252 is about 1260.5138267147.

The spelling of 2002824252 in words is "two billion, two million, eight hundred twenty-four thousand, two hundred fifty-two".