2002611952 has 80 divisors (see below), whose sum is σ = 4295867904. Its totient is φ = 904305600.

The previous prime is 2002611899. The next prime is 2002611959. The reversal of 2002611952 is 2591162002.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2002611952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002611959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5771043 + ... + 5771389.

Almost surely, 2^2002611952 is an apocalyptic number.

2002611952 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 2002611952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147933952).

2002611952 is an abundant number, since it is smaller than the sum of its proper divisors (2293255952).

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

2002611952 is a wasteful number, since it uses less digits than its factorization.

2002611952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 2002611952 is about 44750.5525329018. The cubic root of 2002611952 is about 1260.4692868537.

Adding to 2002611952 its reverse (2591162002), we get a palindrome (4593773954).

The spelling of 2002611952 in words is "two billion, two million, six hundred eleven thousand, nine hundred fifty-two".