2101545535040 has 112 divisors (see below), whose sum is σ = 5721587044992. Its totient is φ = 720229933056.

The previous prime is 2101545534983. The next prime is 2101545535049. The reversal of 2101545535040 is 405355451012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (2101545535049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5219999 + ... + 5608161.

It is an arithmetic number, because the mean of its divisors is an integer number (51085598616).

Almost surely, 2^{2101545535040} is an apocalyptic number.

2101545535040 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 2101545535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860793522496).

2101545535040 is an abundant number, since it is smaller than the sum of its proper divisors (3620041509952).

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

2101545535040 is a wasteful number, since it uses less digits than its factorization.

2101545535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390604 (or 390594 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 2101545535040 in words is "two trillion, one hundred one billion, five hundred forty-five million, five hundred thirty-five thousand, forty".