2254405460400 has 360 divisors, whose sum is σ = 7900048494000. Its totient is φ = 595296092160.

The previous prime is 2254405460381. The next prime is 2254405460401. The reversal of 2254405460400 is 40645044522.

2254405460400 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 40 + 5 + 4 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2254405460401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609791352 + ... + 609795048.

It is an arithmetic number, because the mean of its divisors is an integer number (21944579150).

Almost surely, 2^{2254405460400} is an apocalyptic number.

2254405460400 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 2254405460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950024247000).

2254405460400 is an abundant number, since it is smaller than the sum of its proper divisors (5645643033600).

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

2254405460400 is a wasteful number, since it uses less digits than its factorization.

2254405460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 2254405460400 in words is "two trillion, two hundred fifty-four billion, four hundred five million, four hundred sixty thousand, four hundred".