2115748783104 has 352 divisors, whose sum is σ = 6206859031680. Its totient is φ = 635437056000.

The previous prime is 2115748783087. The next prime is 2115748783111. The reversal of 2115748783104 is 4013878475112.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2615263852 + ... + 2615264660.

Almost surely, 2^{2115748783104} is an apocalyptic number.

2115748783104 is a gapful number since it is divisible by the number (24) 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 2115748783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103429515840).

2115748783104 is an abundant number, since it is smaller than the sum of its proper divisors (4091110248576).

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

2115748783104 is a wasteful number, since it uses less digits than its factorization.

2115748783104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 2115748783104 in words is "two trillion, one hundred fifteen billion, seven hundred forty-eight million, seven hundred eighty-three thousand, one hundred four".