2131941651840 has 3072 divisors, whose sum is σ = 10751616000000. Its totient is φ = 386625208320.

The previous prime is 2131941651823. The next prime is 2131941651883. The reversal of 2131941651840 is 481561491312.

2131941651840 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 94 + 1 + 6 + 518 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4272427911 + ... + 4272428409.

It is an arithmetic number, because the mean of its divisors is an integer number (3499875000).

Almost surely, 2^{2131941651840} is an apocalyptic number.

2131941651840 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 2131941651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375808000000).

2131941651840 is an abundant number, since it is smaller than the sum of its proper divisors (8619674348160).

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

2131941651840 is a wasteful number, since it uses less digits than its factorization.

2131941651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2131941651840 in words is "two trillion, one hundred thirty-one billion, nine hundred forty-one million, six hundred fifty-one thousand, eight hundred forty".