2400140211534 has 72 divisors (see below), whose sum is σ = 5633966356200. Its totient is φ = 738128529216.

The previous prime is 2400140211533. The next prime is 2400140211541. The reversal of 2400140211534 is 4351120410042.

2400140211534 is a `hidden beast` number, since 2 + 400 + 1 + 40 + 211 + 5 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2400140211498 and 2400140211507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400140211533) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5801917 + ... + 6201815.

It is an arithmetic number, because the mean of its divisors is an integer number (78249532725).

Almost surely, 2^{2400140211534} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400140211534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816983178100).

2400140211534 is an abundant number, since it is smaller than the sum of its proper divisors (3233826144666).

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

2400140211534 is a wasteful number, since it uses less digits than its factorization.

2400140211534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401906 (or 401890 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2400140211534 its reverse (4351120410042), we get a palindrome (6751260621576).

The spelling of 2400140211534 in words is "two trillion, four hundred billion, one hundred forty million, two hundred eleven thousand, five hundred thirty-four".