2801840961150 has 960 divisors, whose sum is σ = 9933377794560. Its totient is φ = 568691020800.

The previous prime is 2801840961109. The next prime is 2801840961151. The reversal of 2801840961150 is 511690481082.

It is a happy number.

2801840961150 is a `hidden beast` number, since 2 + 80 + 18 + 409 + 6 + 1 + 150 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2801840961096 and 2801840961105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801840961151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3624632164 + ... + 3624632936.

It is an arithmetic number, because the mean of its divisors is an integer number (10347268536).

Almost surely, 2^{2801840961150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2801840961150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966688897280).

2801840961150 is an abundant number, since it is smaller than the sum of its proper divisors (7131536833410).

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

2801840961150 is a wasteful number, since it uses less digits than its factorization.

2801840961150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 2801840961150 in words is "two trillion, eight hundred one billion, eight hundred forty million, nine hundred sixty-one thousand, one hundred fifty".