2154495552400 has 135 divisors (see below), whose sum is σ = 5248175424051. Its totient is φ = 849973463040.

The previous prime is 2154495552367. The next prime is 2154495552401. The reversal of 2154495552400 is 42555944512.

The square root of 2154495552400 is 1467820.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1082823385744 + 1071672166656 = 1040588^2 + 1035216^2 .

It is a super-2 number, since 2×2154495552400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2154495552401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2319155136 + ... + 2319156064.

Almost surely, 2^{2154495552400} is an apocalyptic number.

2154495552400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2154495552400 is the 1467820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154495552400

2154495552400 is an abundant number, since it is smaller than the sum of its proper divisors (3093679871651).

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

2154495552400 is an frugal number, since it uses more digits than its factorization.

2154495552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 2154495552400 in words is "two trillion, one hundred fifty-four billion, four hundred ninety-five million, five hundred fifty-two thousand, four hundred".