2101511580480 has 448 divisors, whose sum is σ = 8066298401280. Its totient is φ = 511959564288.

The previous prime is 2101511580457. The next prime is 2101511580481. The reversal of 2101511580480 is 840851151012.

2101511580480 is a `hidden beast` number, since 2 + 10 + 1 + 511 + 58 + 0 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101511580481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10798597 + ... + 10991483.

It is an arithmetic number, because the mean of its divisors is an integer number (18005130360).

Almost surely, 2^{2101511580480} is an apocalyptic number.

2101511580480 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 2101511580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033149200640).

2101511580480 is an abundant number, since it is smaller than the sum of its proper divisors (5964786820800).

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

2101511580480 is a wasteful number, since it uses less digits than its factorization.

2101511580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193023 (or 193007 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 2101511580480 in words is "two trillion, one hundred one billion, five hundred eleven million, five hundred eighty thousand, four hundred eighty".