2054189237760 has 2400 divisors, whose sum is σ = 8850583526400. Its totient is φ = 453272371200.

The previous prime is 2054189237753. The next prime is 2054189237803. The reversal of 2054189237760 is 677329814502.

It is a happy number.

2054189237760 is a `hidden beast` number, since 2 + 0 + 541 + 8 + 9 + 2 + 37 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2054189237697 and 2054189237706.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 14778339771 + ... + 14778339909.

It is an arithmetic number, because the mean of its divisors is an integer number (3687743136).

It is a 1-persistent number, because it is pandigital, but 2⋅2054189237760 = 4108378475520 is not.

Almost surely, 2^{2054189237760} is an apocalyptic number.

2054189237760 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 2054189237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425291763200).

2054189237760 is an abundant number, since it is smaller than the sum of its proper divisors (6796394288640).

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

2054189237760 is a wasteful number, since it uses less digits than its factorization.

2054189237760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2054189237760 in words is "two trillion, fifty-four billion, one hundred eighty-nine million, two hundred thirty-seven thousand, seven hundred sixty".