2054432257920 has 1152 divisors, whose sum is σ = 8610071670720. Its totient is φ = 441846005760.

The previous prime is 2054432257907. The next prime is 2054432257987. The reversal of 2054432257920 is 297522344502.

2054432257920 is a `hidden beast` number, since 2 + 0 + 5 + 44 + 32 + 2 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1433657524 + ... + 1433658956.

Almost surely, 2^{2054432257920} is an apocalyptic number.

2054432257920 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 2054432257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305035835360).

2054432257920 is an abundant number, since it is smaller than the sum of its proper divisors (6555639412800).

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

2054432257920 is a wasteful number, since it uses less digits than its factorization.

2054432257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2054432257920 in words is "two trillion, fifty-four billion, four hundred thirty-two million, two hundred fifty-seven thousand, nine hundred twenty".