2141257620096 has 1152 divisors, whose sum is σ = 7571212197120. Its totient is φ = 578672640000.

The previous prime is 2141257620091. The next prime is 2141257620097. The reversal of 2141257620096 is 6900267521412.

2141257620096 is a `hidden beast` number, since 2 + 1 + 4 + 12 + 5 + 7 + 620 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (2141257620091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16345477951 + ... + 16345478081.

It is an arithmetic number, because the mean of its divisors is an integer number (6572232810).

Almost surely, 2^{2141257620096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141257620096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785606098560).

2141257620096 is an abundant number, since it is smaller than the sum of its proper divisors (5429954577024).

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

2141257620096 is a wasteful number, since it uses less digits than its factorization.

2141257620096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2141257620096 in words is "two trillion, one hundred forty-one billion, two hundred fifty-seven million, six hundred twenty thousand, ninety-six".