2084397144480 has 240 divisors, whose sum is σ = 8407068848640. Its totient is φ = 476433612288.

The previous prime is 2084397144443. The next prime is 2084397144491. The reversal of 2084397144480 is 844417934802.

2084397144480 is a `hidden beast` number, since 20 + 8 + 4 + 39 + 71 + 44 + 480 = 666.

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

It is a super-2 number, since 2×2084397144480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 11397360 + ... + 11578799.

It is an arithmetic number, because the mean of its divisors is an integer number (35029453536).

Almost surely, 2^{2084397144480} is an apocalyptic number.

2084397144480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084397144480 is an abundant number, since it is smaller than the sum of its proper divisors (6322671704160).

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

2084397144480 is a wasteful number, since it uses less digits than its factorization.

2084397144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22976193 (or 22976176 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2084397144480 in words is "two trillion, eighty-four billion, three hundred ninety-seven million, one hundred forty-four thousand, four hundred eighty".