2101766501952 has 336 divisors, whose sum is σ = 6735353031680. Its totient is φ = 645993750528.

The previous prime is 2101766501951. The next prime is 2101766502019. The reversal of 2101766501952 is 2591056671012.

It is a happy number.

2101766501952 is a `hidden beast` number, since 21 + 0 + 1 + 76 + 6 + 501 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2101766501898 and 2101766501907.

It is not an unprimeable number, because it can be changed into a prime (2101766501951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203990433 + ... + 204000735.

Almost surely, 2^{2101766501952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101766501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367676515840).

2101766501952 is an abundant number, since it is smaller than the sum of its proper divisors (4633586529728).

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

2101766501952 is a wasteful number, since it uses less digits than its factorization.

2101766501952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11352 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 2101766501952 in words is "two trillion, one hundred one billion, seven hundred sixty-six million, five hundred one thousand, nine hundred fifty-two".