2420001895680 has 1152 divisors, whose sum is σ = 9332570419200. Its totient is φ = 592419225600.

The previous prime is 2420001895651. The next prime is 2420001895681. The reversal of 2420001895680 is 865981000242.

2420001895680 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 0 + 0 + 1 + 89 + 568 + 0 = 666.

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

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 (2420001895681) 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 127 ways as a sum of consecutive naturals, for example, 1625252376 + ... + 1625253864.

It is an arithmetic number, because the mean of its divisors is an integer number (8101189600).

Almost surely, 2^{2420001895680} is an apocalyptic number.

2420001895680 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 2420001895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666285209600).

2420001895680 is an abundant number, since it is smaller than the sum of its proper divisors (6912568523520).

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

2420001895680 is a wasteful number, since it uses less digits than its factorization.

2420001895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2420001895680 in words is "two trillion, four hundred twenty billion, one million, eight hundred ninety-five thousand, six hundred eighty".