2124629015040 has 960 divisors, whose sum is σ = 9002703790080. Its totient is φ = 469934161920.

The previous prime is 2124629015027. The next prime is 2124629015051. The reversal of 2124629015040 is 405109264212.

It is a happy number.

2124629015040 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 62 + 90 + 1 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2124629014986 and 2124629015004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134983491 + ... + 134999229.

It is an arithmetic number, because the mean of its divisors is an integer number (9377816448).

Almost surely, 2^{2124629015040} is an apocalyptic number.

2124629015040 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 2124629015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501351895040).

2124629015040 is an abundant number, since it is smaller than the sum of its proper divisors (6878074775040).

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

2124629015040 is an equidigital number, since it uses as much as digits as its factorization.

2124629015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15815 (or 15787 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2124629015040 in words is "two trillion, one hundred twenty-four billion, six hundred twenty-nine million, fifteen thousand, forty".