2042343009252 has 384 divisors, whose sum is σ = 6588391040000. Its totient is φ = 532747321344.

The previous prime is 2042343009247. The next prime is 2042343009257. The reversal of 2042343009252 is 2529003432402.

2042343009252 is a `hidden beast` number, since 20 + 42 + 343 + 0 + 0 + 9 + 252 = 666.

It is an interprime number because it is at equal distance from previous prime (2042343009247) and next prime (2042343009257).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2042343009257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 759516324 + ... + 759519012.

Almost surely, 2^{2042343009252} 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 2042343009252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294195520000).

2042343009252 is an abundant number, since it is smaller than the sum of its proper divisors (4546048030748).

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

2042343009252 is a wasteful number, since it uses less digits than its factorization.

2042343009252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2042343009252 in words is "two trillion, forty-two billion, three hundred forty-three million, nine thousand, two hundred fifty-two".