2546421406200 has 216 divisors, whose sum is σ = 9947933358480. Its totient is φ = 582039158400.

The previous prime is 2546421406141. The next prime is 2546421406273. The reversal of 2546421406200 is 26041246452.

2546421406200 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 4 + 21 + 4 + 0 + 620 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14347296 + ... + 14523695.

It is an arithmetic number, because the mean of its divisors is an integer number (46055247030).

Almost surely, 2^{2546421406200} is an apocalyptic number.

2546421406200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2546421406200 is an abundant number, since it is smaller than the sum of its proper divisors (7401511952280).

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

2546421406200 is a wasteful number, since it uses less digits than its factorization.

2546421406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28871027 (or 28871008 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2546421406200 in words is "two trillion, five hundred forty-six billion, four hundred twenty-one million, four hundred six thousand, two hundred".