2054578224400 has 405 divisors, whose sum is σ = 5530514475591. Its totient is φ = 733156669440.

The previous prime is 2054578224397. The next prime is 2054578224401. The reversal of 2054578224400 is 44228754502.

The square root of 2054578224400 is 1433380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 1558872108304 + 495706116096 = 1248548^2 + 704064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2054578224401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13789115526 + ... + 13789115674.

Almost surely, 2^{2054578224400} is an apocalyptic number.

2054578224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2054578224400 is the 1433380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054578224400

2054578224400 is an abundant number, since it is smaller than the sum of its proper divisors (3475936251191).

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

2054578224400 is a wasteful number, since it uses less digits than its factorization.

2054578224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 43.

The spelling of 2054578224400 in words is "two trillion, fifty-four billion, five hundred seventy-eight million, two hundred twenty-four thousand, four hundred".