2034451376256 has 768 divisors, whose sum is σ = 6618694809600. Its totient is φ = 549889966080.

The previous prime is 2034451376213. The next prime is 2034451376323. The reversal of 2034451376256 is 6526731544302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 95 ways as a sum of consecutive naturals, for example, 1488259285 + ... + 1488260651.

It is an arithmetic number, because the mean of its divisors is an integer number (8618092200).

Almost surely, 2^{2034451376256} is an apocalyptic number.

2034451376256 is a gapful number since it is divisible by the number (26) 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 2034451376256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309347404800).

2034451376256 is an abundant number, since it is smaller than the sum of its proper divisors (4584243433344).

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

2034451376256 is a wasteful number, since it uses less digits than its factorization.

2034451376256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 2034451376256 in words is "two trillion, thirty-four billion, four hundred fifty-one million, three hundred seventy-six thousand, two hundred fifty-six".