2131976246400 has 4032 divisors, whose sum is σ = 10811127418560. Its totient is φ = 404003635200.

The previous prime is 2131976246353. The next prime is 2131976246401. The reversal of 2131976246400 is 46426791312.

2131976246400 is a `hidden beast` number, since 2 + 1 + 3 + 19 + 7 + 624 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131976246401) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 25686460759 + ... + 25686460841.

It is an arithmetic number, because the mean of its divisors is an integer number (2681331205).

Almost surely, 2^{2131976246400} is an apocalyptic number.

2131976246400 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 2131976246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405563709280).

2131976246400 is an abundant number, since it is smaller than the sum of its proper divisors (8679151172160).

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

2131976246400 is a wasteful number, since it uses less digits than its factorization.

2131976246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2131976246400 in words is "two trillion, one hundred thirty-one billion, nine hundred seventy-six million, two hundred forty-six thousand, four hundred".