2001142874952 has 384 divisors, whose sum is σ = 6378642816000. Its totient is φ = 582667188480.

The previous prime is 2001142874879. The next prime is 2001142875037. The reversal of 2001142874952 is 2594782411002.

2001142874952 is a `hidden beast` number, since 20 + 0 + 114 + 28 + 7 + 495 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2001142874898 and 2001142874907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562274949 + ... + 562278507.

It is an arithmetic number, because the mean of its divisors is an integer number (16611049000).

Almost surely, 2^{2001142874952} 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 2001142874952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189321408000).

2001142874952 is an abundant number, since it is smaller than the sum of its proper divisors (4377499941048).

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

2001142874952 is a wasteful number, since it uses less digits than its factorization.

2001142874952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2001142874952 in words is "two trillion, one billion, one hundred forty-two million, eight hundred seventy-four thousand, nine hundred fifty-two".