2107451146752 has 1440 divisors, whose sum is σ = 7828365916800. Its totient is φ = 553386442752.

The previous prime is 2107451146711. The next prime is 2107451146769. The reversal of 2107451146752 is 2576411547012.

2107451146752 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 451 + 146 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2107451146698 and 2107451146707.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23679226324 + ... + 23679226412.

It is an arithmetic number, because the mean of its divisors is an integer number (5436365220).

Almost surely, 2^{2107451146752} 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 2107451146752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914182958400).

2107451146752 is an abundant number, since it is smaller than the sum of its proper divisors (5720914770048).

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

2107451146752 is an frugal number, since it uses more digits than its factorization.

2107451146752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 2107451146752 in words is "two trillion, one hundred seven billion, four hundred fifty-one million, one hundred forty-six thousand, seven hundred fifty-two".