2352920823792 has 480 divisors, whose sum is σ = 8533693808640. Its totient is φ = 609722069760.

The previous prime is 2352920823791. The next prime is 2352920823793. The reversal of 2352920823792 is 2973280292532.

It is a happy number.

2352920823792 is a `hidden beast` number, since 2 + 3 + 529 + 2 + 0 + 8 + 23 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (2352920823791) and next prime (2352920823793).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352920823791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131417113 + ... + 131435015.

It is an arithmetic number, because the mean of its divisors is an integer number (17778528768).

Almost surely, 2^{2352920823792} is an apocalyptic number.

2352920823792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2352920823792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266846904320).

2352920823792 is an abundant number, since it is smaller than the sum of its proper divisors (6180772984848).

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

2352920823792 is a wasteful number, since it uses less digits than its factorization.

2352920823792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18383 (or 18365 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2352920823792 in words is "two trillion, three hundred fifty-two billion, nine hundred twenty million, eight hundred twenty-three thousand, seven hundred ninety-two".