2051251122400 has 144 divisors (see below), whose sum is σ = 5054121234288. Its totient is φ = 812887040000.

The previous prime is 2051251122373. The next prime is 2051251122527. The reversal of 2051251122400 is 42211521502.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334567335 + ... + 334573465.

It is an arithmetic number, because the mean of its divisors is an integer number (35098064127).

Almost surely, 2^{2051251122400} is an apocalyptic number.

2051251122400 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 2051251122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527060617144).

2051251122400 is an abundant number, since it is smaller than the sum of its proper divisors (3002870111888).

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

2051251122400 is a wasteful number, since it uses less digits than its factorization.

2051251122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 2051251122400 its reverse (42211521502), we get a palindrome (2093462643902).

The spelling of 2051251122400 in words is "two trillion, fifty-one billion, two hundred fifty-one million, one hundred twenty-two thousand, four hundred".