2642460032520 has 384 divisors, whose sum is σ = 10729151447040. Its totient is φ = 547952325120.

The previous prime is 2642460032477. The next prime is 2642460032551. The reversal of 2642460032520 is 252300642462.

2642460032520 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 4 + 600 + 3 + 25 + 20 = 666.

2642460032520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 13401769 + ... + 13597511.

It is an arithmetic number, because the mean of its divisors is an integer number (27940498560).

Almost surely, 2^{2642460032520} is an apocalyptic number.

2642460032520 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 2642460032520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364575723520).

2642460032520 is an abundant number, since it is smaller than the sum of its proper divisors (8086691414520).

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

2642460032520 is a wasteful number, since it uses less digits than its factorization.

2642460032520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196265 (or 196258 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2642460032520 its reverse (252300642462), we get a palindrome (2894760674982).

The spelling of 2642460032520 in words is "two trillion, six hundred forty-two billion, four hundred sixty million, thirty-two thousand, five hundred twenty".