2101527457920 has 1152 divisors, whose sum is σ = 8593854796800. Its totient is φ = 471479500800.

The previous prime is 2101527457907. The next prime is 2101527457921. The reversal of 2101527457920 is 297547251012.

2101527457920 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 5 + 2 + 74 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2101527457921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 496930366 + ... + 496934594.

It is an arithmetic number, because the mean of its divisors is an integer number (7459943400).

Almost surely, 2^{2101527457920} is an apocalyptic number.

2101527457920 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 2101527457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296927398400).

2101527457920 is an abundant number, since it is smaller than the sum of its proper divisors (6492327338880).

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

2101527457920 is a wasteful number, since it uses less digits than its factorization.

2101527457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 2101527457920 in words is "two trillion, one hundred one billion, five hundred twenty-seven million, four hundred fifty-seven thousand, nine hundred twenty".