2001496632 has 192 divisors, whose sum is σ = 5688299520. Its totient is φ = 584672256.

The previous prime is 2001496621. The next prime is 2001496643. The reversal of 2001496632 is 2366941002.

2001496632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2001496621) and next prime (2001496643).

It is a junction number, because it is equal to n+sod(n) for n = 2001496593 and 2001496602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15759753 + ... + 15759879.

It is an arithmetic number, because the mean of its divisors is an integer number (29626560).

Almost surely, 2^2001496632 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 2001496632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844149760).

2001496632 is an abundant number, since it is smaller than the sum of its proper divisors (3686802888).

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

2001496632 is a wasteful number, since it uses less digits than its factorization.

2001496632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2001496632 is about 44738.0892752473. The cubic root of 2001496632 is about 1260.2352445624.

The spelling of 2001496632 in words is "two billion, one million, four hundred ninety-six thousand, six hundred thirty-two".