2352781246004 has 72 divisors (see below), whose sum is σ = 4811526058248. Its totient is φ = 1003719306240.

The previous prime is 2352781246001. The next prime is 2352781246027. The reversal of 2352781246004 is 4006421872532.

It can be written as a sum of positive squares in 4 ways, for example, as 1054667380900 + 1298113865104 = 1026970^2 + 1139348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352781246001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257608622 + ... + 257617754.

It is an arithmetic number, because the mean of its divisors is an integer number (66826750809).

Almost surely, 2^{2352781246004} 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 2352781246004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405763029124).

2352781246004 is an abundant number, since it is smaller than the sum of its proper divisors (2458744812244).

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

2352781246004 is a wasteful number, since it uses less digits than its factorization.

2352781246004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15025 (or 15016 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 2352781246004 in words is "two trillion, three hundred fifty-two billion, seven hundred eighty-one million, two hundred forty-six thousand, four".