2001516011220 has 384 divisors, whose sum is σ = 6373496586240. Its totient is φ = 464933952000.

The previous prime is 2001516011219. The next prime is 2001516011267. The reversal of 2001516011220 is 221106151002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 933977469 + ... + 933979611.

It is an arithmetic number, because the mean of its divisors is an integer number (16597647360).

Almost surely, 2^{2001516011220} is an apocalyptic number.

2001516011220 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 2001516011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186748293120).

2001516011220 is an abundant number, since it is smaller than the sum of its proper divisors (4371980575020).

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

2001516011220 is a wasteful number, since it uses less digits than its factorization.

2001516011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 2001516011220 in words is "two trillion, one billion, five hundred sixteen million, eleven thousand, two hundred twenty".