2060400464424 has 256 divisors, whose sum is σ = 6186632256000. Its totient is φ = 633709486080.

The previous prime is 2060400464393. The next prime is 2060400464459. The reversal of 2060400464424 is 4244640040602.

2060400464424 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 4 + 0 + 0 + 4 + 644 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18071404 + ... + 18185060.

It is an arithmetic number, because the mean of its divisors is an integer number (24166532250).

Almost surely, 2^{2060400464424} is an apocalyptic number.

2060400464424 is a gapful number since it is divisible by the number (24) 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 2060400464424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093316128000).

2060400464424 is an abundant number, since it is smaller than the sum of its proper divisors (4126231791576).

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

2060400464424 is a wasteful number, since it uses less digits than its factorization.

2060400464424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113825 (or 113815 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 2060400464424 in words is "two trillion, sixty billion, four hundred million, four hundred sixty-four thousand, four hundred twenty-four".