2354944327680 has 720 divisors, whose sum is σ = 8825913605376. Its totient is φ = 534592880640.

The previous prime is 2354944327663. The next prime is 2354944327727. The reversal of 2354944327680 is 867234494532.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2354944327680.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2011053495 + ... + 2011054665.

Almost surely, 2^{2354944327680} is an apocalyptic number.

2354944327680 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 2354944327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412956802688).

2354944327680 is an abundant number, since it is smaller than the sum of its proper divisors (6470969277696).

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

2354944327680 is a wasteful number, since it uses less digits than its factorization.

2354944327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 2354944327680 in words is "two trillion, three hundred fifty-four billion, nine hundred forty-four million, three hundred twenty-seven thousand, six hundred eighty".