2381146429680 has 240 divisors, whose sum is σ = 8471374520544. Its totient is φ = 597317713920.

The previous prime is 2381146429661. The next prime is 2381146429691. The reversal of 2381146429680 is 869246411832.

2381146429680 is a `hidden beast` number, since 2 + 3 + 8 + 11 + 464 + 2 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2381146429680² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24566272 + ... + 24663008.

Almost surely, 2^{2381146429680} is an apocalyptic number.

2381146429680 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 2381146429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235687260272).

2381146429680 is an abundant number, since it is smaller than the sum of its proper divisors (6090228090864).

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

2381146429680 is a wasteful number, since it uses less digits than its factorization.

2381146429680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98784 (or 98775 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2381146429680 in words is "two trillion, three hundred eighty-one billion, one hundred forty-six million, four hundred twenty-nine thousand, six hundred eighty".