2002431400452 has 108 divisors (see below), whose sum is σ = 5894390714940. Its totient is φ = 571512195072.

The previous prime is 2002431400447. The next prime is 2002431400471. The reversal of 2002431400452 is 2540041342002.

2002431400452 is a `hidden beast` number, since 200 + 2 + 4 + 3 + 1 + 4 + 0 + 0 + 452 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 544679424576 + 1457751975876 = 738024^2 + 1207374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1047124 + ... + 2258612.

It is an arithmetic number, because the mean of its divisors is an integer number (54577691805).

Almost surely, 2^{2002431400452} 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 2002431400452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947195357470).

2002431400452 is an abundant number, since it is smaller than the sum of its proper divisors (3891959314488).

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

2002431400452 is a wasteful number, since it uses less digits than its factorization.

2002431400452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212450 (or 1212438 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 2002431400452 its reverse (2540041342002), we get a palindrome (4542472742454).

The spelling of 2002431400452 in words is "two trillion, two billion, four hundred thirty-one million, four hundred thousand, four hundred fifty-two".