2001525988 has 96 divisors (see below), whose sum is σ = 4527452160. Its totient is φ = 751645440.

The previous prime is 2001525983. The next prime is 2001526001. The reversal of 2001525988 is 8895251002.

It is a super-2 number, since 2×2001525988² = 8012212561278752288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2001525988.

It is not an unprimeable number, because it can be changed into a prime (2001525983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045320 + ... + 1047232.

It is an arithmetic number, because the mean of its divisors is an integer number (47160960).

Almost surely, 2^2001525988 is an apocalyptic number.

2001525988 is a gapful number since it is divisible by the number (28) 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 2001525988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263726080).

2001525988 is an abundant number, since it is smaller than the sum of its proper divisors (2525926172).

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

2001525988 is a wasteful number, since it uses less digits than its factorization.

2001525988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 2001525988 is about 44738.4173613685. The cubic root of 2001525988 is about 1260.2414058326.

The spelling of 2001525988 in words is "two billion, one million, five hundred twenty-five thousand, nine hundred eighty-eight".