2254141632400 has 120 divisors (see below), whose sum is σ = 6189673994240. Its totient is φ = 772792980480.

The previous prime is 2254141632359. The next prime is 2254141632419. The reversal of 2254141632400 is 42361414522.

2254141632400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64967857 + ... + 65002543.

Almost surely, 2^{2254141632400} is an apocalyptic number.

2254141632400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254141632400 is an abundant number, since it is smaller than the sum of its proper divisors (3935532361840).

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

2254141632400 is a wasteful number, since it uses less digits than its factorization.

2254141632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57921 (or 57910 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 2254141632400 in words is "two trillion, two hundred fifty-four billion, one hundred forty-one million, six hundred thirty-two thousand, four hundred".