2051101535400 has 288 divisors, whose sum is σ = 7044307171200. Its totient is φ = 534602726400.

The previous prime is 2051101535389. The next prime is 2051101535407. The reversal of 2051101535400 is 45351011502.

2051101535400 is a `hidden beast` number, since 2 + 0 + 5 + 110 + 1 + 5 + 3 + 540 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2051101535407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64364671 + ... + 64396529.

It is an arithmetic number, because the mean of its divisors is an integer number (24459399900).

Almost surely, 2^{2051101535400} is an apocalyptic number.

2051101535400 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 2051101535400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522153585600).

2051101535400 is an abundant number, since it is smaller than the sum of its proper divisors (4993205635800).

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

2051101535400 is a wasteful number, since it uses less digits than its factorization.

2051101535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32689 (or 32677 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 2051101535400 its reverse (45351011502), we get a palindrome (2096452546902).

The spelling of 2051101535400 in words is "two trillion, fifty-one billion, one hundred one million, five hundred thirty-five thousand, four hundred".