2051134400000 has 480 divisors, whose sum is σ = 5991838997760. Its totient is φ = 686730240000.

The previous prime is 2051134399991. The next prime is 2051134400027. The reversal of 2051134400000 is 44311502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481597871 + ... + 481602129.

It is an arithmetic number, because the mean of its divisors is an integer number (12482997912).

Almost surely, 2^{2051134400000} is an apocalyptic number.

2051134400000 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 2051134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995919498880).

2051134400000 is an abundant number, since it is smaller than the sum of its proper divisors (3940704597760).

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

2051134400000 is an frugal number, since it uses more digits than its factorization.

2051134400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 2051134400000 its reverse (44311502), we get a palindrome (2051178711502).

The spelling of 2051134400000 in words is "two trillion, fifty-one billion, one hundred thirty-four million, four hundred thousand".