2134243100040 has 256 divisors, whose sum is σ = 6506716677120. Its totient is φ = 559976202240.

The previous prime is 2134243100029. The next prime is 2134243100131. The reversal of 2134243100040 is 400013424312.

It is a super-2 number, since 2×2134243100040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2342747185 + ... + 2342748095.

It is an arithmetic number, because the mean of its divisors is an integer number (25416862020).

Almost surely, 2^{2134243100040} is an apocalyptic number.

2134243100040 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 2134243100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253358338560).

2134243100040 is an abundant number, since it is smaller than the sum of its proper divisors (4372473577080).

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

2134243100040 is a wasteful number, since it uses less digits than its factorization.

2134243100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2134243100040 its reverse (400013424312), we get a palindrome (2534256524352).

The spelling of 2134243100040 in words is "two trillion, one hundred thirty-four billion, two hundred forty-three million, one hundred thousand, forty".