2134243020400 has 120 divisors (see below), whose sum is σ = 5361452273664. Its totient is φ = 814901472000.

The previous prime is 2134243020391. The next prime is 2134243020409. The reversal of 2134243020400 is 40203424312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2134243020391) and next prime (2134243020409).

It is a super-2 number, since 2×2134243020400² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134243020409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4242225 + ... + 4718575.

Almost surely, 2^{2134243020400} is an apocalyptic number.

2134243020400 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 2134243020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680726136832).

2134243020400 is an abundant number, since it is smaller than the sum of its proper divisors (3227209253264).

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

2134243020400 is a wasteful number, since it uses less digits than its factorization.

2134243020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476879 (or 476868 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2134243020400 its reverse (40203424312), we get a palindrome (2174446444712).

The spelling of 2134243020400 in words is "two trillion, one hundred thirty-four billion, two hundred forty-three million, twenty thousand, four hundred".