2001501671520 has 192 divisors, whose sum is σ = 6790485852864. Its totient is φ = 492621004800.

The previous prime is 2001501671501. The next prime is 2001501671573. The reversal of 2001501671520 is 251761051002.

It is a super-2 number, since 2×2001501671520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89851104 + ... + 89873376.

It is an arithmetic number, because the mean of its divisors is an integer number (35367113817).

Almost surely, 2^{2001501671520} is an apocalyptic number.

2001501671520 is a gapful number since it is divisible by the number (20) 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 2001501671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395242926432).

2001501671520 is an abundant number, since it is smaller than the sum of its proper divisors (4788984181344).

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

2001501671520 is a wasteful number, since it uses less digits than its factorization.

2001501671520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36705 (or 36697 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 2001501671520 in words is "two trillion, one billion, five hundred one million, six hundred seventy-one thousand, five hundred twenty".