2131658222040 has 512 divisors, whose sum is σ = 7664722329600. Its totient is φ = 525032202240.

The previous prime is 2131658222039. The next prime is 2131658222059. The reversal of 2131658222040 is 402228561312.

2131658222040 is a `hidden beast` number, since 2 + 1 + 3 + 16 + 582 + 2 + 20 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2131658221986 and 2131658222004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290690214 + ... + 290697546.

It is an arithmetic number, because the mean of its divisors is an integer number (14970160800).

Almost surely, 2^{2131658222040} is an apocalyptic number.

2131658222040 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 2131658222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832361164800).

2131658222040 is an abundant number, since it is smaller than the sum of its proper divisors (5533064107560).

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

2131658222040 is a wasteful number, since it uses less digits than its factorization.

2131658222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2131658222040 in words is "two trillion, one hundred thirty-one billion, six hundred fifty-eight million, two hundred twenty-two thousand, forty".