2100581901600 has 432 divisors, whose sum is σ = 8565532895808. Its totient is φ = 443199375360.

The previous prime is 2100581901577. The next prime is 2100581901653. The reversal of 2100581901600 is 61091850012.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 841797 + ... + 2215803.

It is an arithmetic number, because the mean of its divisors is an integer number (19827622444).

Almost surely, 2^{2100581901600} is an apocalyptic number.

2100581901600 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 2100581901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282766447904).

2100581901600 is an abundant number, since it is smaller than the sum of its proper divisors (6464950994208).

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

2100581901600 is a wasteful number, since it uses less digits than its factorization.

2100581901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374057 (or 1374037 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 2100581901600 in words is "two trillion, one hundred billion, five hundred eighty-one million, nine hundred one thousand, six hundred".