2131402313040 has 640 divisors, whose sum is σ = 9111208845312. Its totient is φ = 397769564160.

The previous prime is 2131402313021. The next prime is 2131402313041. The reversal of 2131402313040 is 403132041312.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2131402313040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131402313041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8768989 + ... + 9008771.

Almost surely, 2^{2131402313040} is an apocalyptic number.

2131402313040 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 2131402313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555604422656).

2131402313040 is an abundant number, since it is smaller than the sum of its proper divisors (6979806532272).

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

2131402313040 is a wasteful number, since it uses less digits than its factorization.

2131402313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239867 (or 239861 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2131402313040 its reverse (403132041312), we get a palindrome (2534534354352).

It can be divided in two parts, 2131402 and 313040, that added together give a palindrome (2444442).

The spelling of 2131402313040 in words is "two trillion, one hundred thirty-one billion, four hundred two million, three hundred thirteen thousand, forty".