2154195194400 has 432 divisors, whose sum is σ = 7977345667200. Its totient is φ = 567176463360.

The previous prime is 2154195194399. The next prime is 2154195194441. The reversal of 2154195194400 is 44915914512.

2154195194400 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 195 + 19 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15287466 + ... + 15427734.

Almost surely, 2^{2154195194400} is an apocalyptic number.

2154195194400 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 2154195194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988672833600).

2154195194400 is an abundant number, since it is smaller than the sum of its proper divisors (5823150472800).

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

2154195194400 is a wasteful number, since it uses less digits than its factorization.

2154195194400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140383 (or 140358 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 2154195194400 in words is "two trillion, one hundred fifty-four billion, one hundred ninety-five million, one hundred ninety-four thousand, four hundred".