2034748767744 has 1920 divisors, whose sum is σ = 8254374543360. Its totient is φ = 487942963200.

The previous prime is 2034748767739. The next prime is 2034748767749. The reversal of 2034748767744 is 4477678474302.

2034748767744 is a `hidden beast` number, since 2 + 0 + 3 + 47 + 487 + 6 + 77 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (2034748767739) and next prime (2034748767749).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034748767749) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5312659777 + ... + 5312660159.

It is an arithmetic number, because the mean of its divisors is an integer number (4299153408).

Almost surely, 2^{2034748767744} is an apocalyptic number.

2034748767744 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 2034748767744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127187271680).

2034748767744 is an abundant number, since it is smaller than the sum of its proper divisors (6219625775616).

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

2034748767744 is a wasteful number, since it uses less digits than its factorization.

2034748767744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 177020928, while the sum is 63.

The spelling of 2034748767744 in words is "two trillion, thirty-four billion, seven hundred forty-eight million, seven hundred sixty-seven thousand, seven hundred forty-four".