2024152211040 has 768 divisors, whose sum is σ = 7043852648448. Its totient is φ = 486583566336.

The previous prime is 2024152211027. The next prime is 2024152211131. The reversal of 2024152211040 is 401122514202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2024152211040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5515400937 + ... + 5515401303.

It is an arithmetic number, because the mean of its divisors is an integer number (9171683136).

Almost surely, 2^{2024152211040} is an apocalyptic number.

2024152211040 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 2024152211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521926324224).

2024152211040 is an abundant number, since it is smaller than the sum of its proper divisors (5019700437408).

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

2024152211040 is a wasteful number, since it uses less digits than its factorization.

2024152211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 2024152211040 its reverse (401122514202), we get a palindrome (2425274725242).

The spelling of 2024152211040 in words is "two trillion, twenty-four billion, one hundred fifty-two million, two hundred eleven thousand, forty".