2352780781920 has 336 divisors, whose sum is σ = 8537136616512. Its totient is φ = 612104325120.

The previous prime is 2352780781907. The next prime is 2352780781951. The reversal of 2352780781920 is 291870872532.

2352780781920 is a `hidden beast` number, since 2 + 3 + 527 + 80 + 7 + 8 + 19 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4536249 + ... + 5028231.

It is an arithmetic number, because the mean of its divisors is an integer number (25408144692).

Almost surely, 2^{2352780781920} is an apocalyptic number.

2352780781920 is a gapful number since it is divisible by the number (20) 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 2352780781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268568308256).

2352780781920 is an abundant number, since it is smaller than the sum of its proper divisors (6184355834592).

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

2352780781920 is an equidigital number, since it uses as much as digits as its factorization.

2352780781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492057 (or 492034 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 2352780781920 in words is "two trillion, three hundred fifty-two billion, seven hundred eighty million, seven hundred eighty-one thousand, nine hundred twenty".