2051275406400 has 1344 divisors, whose sum is σ = 8917006417920. Its totient is φ = 452874240000.

The previous prime is 2051275406399. The next prime is 2051275406423. The reversal of 2051275406400 is 46045721502.

It is a happy number.

2051275406400 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 2 + 7 + 5 + 4 + 0 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 250426305 + ... + 250434495.

Almost surely, 2^{2051275406400} is an apocalyptic number.

2051275406400 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 2051275406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458503208960).

2051275406400 is an abundant number, since it is smaller than the sum of its proper divisors (6865731011520).

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

2051275406400 is a wasteful number, since it uses less digits than its factorization.

2051275406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 2051275406400 in words is "two trillion, fifty-one billion, two hundred seventy-five million, four hundred six thousand, four hundred".