2054834749440 has 2016 divisors, whose sum is σ = 8911989588096. Its totient is φ = 448454983680.

The previous prime is 2054834749421. The next prime is 2054834749447. The reversal of 2054834749440 is 449474384502.

2054834749440 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 83 + 474 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×2054834749440² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054834749447) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 89340641269 + ... + 89340641291.

It is an arithmetic number, because the mean of its divisors is an integer number (4420629756).

Almost surely, 2^{2054834749440} is an apocalyptic number.

2054834749440 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 2054834749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455994794048).

2054834749440 is an abundant number, since it is smaller than the sum of its proper divisors (6857154838656).

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

2054834749440 is an frugal number, since it uses more digits than its factorization.

2054834749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 2054834749440 in words is "two trillion, fifty-four billion, eight hundred thirty-four million, seven hundred forty-nine thousand, four hundred forty".