2042624823840 has 288 divisors, whose sum is σ = 7325340998976. Its totient is φ = 517652674560.

The previous prime is 2042624823821. The next prime is 2042624823887. The reversal of 2042624823840 is 483284262402.

2042624823840 is a `hidden beast` number, since 2 + 0 + 4 + 26 + 248 + 2 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1845255 + ... + 2736825.

It is an arithmetic number, because the mean of its divisors is an integer number (25435211802).

Almost surely, 2^{2042624823840} is an apocalyptic number.

2042624823840 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 2042624823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662670499488).

2042624823840 is an abundant number, since it is smaller than the sum of its proper divisors (5282716175136).

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

2042624823840 is a wasteful number, since it uses less digits than its factorization.

2042624823840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891672 (or 891661 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 2042624823840 in words is "two trillion, forty-two billion, six hundred twenty-four million, eight hundred twenty-three thousand, eight hundred forty".