2621642412480 has 1792 divisors, whose sum is σ = 10913107968000. Its totient is φ = 518526074880.

The previous prime is 2621642412421. The next prime is 2621642412481. The reversal of 2621642412480 is 842142461262.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2621642412481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17594915446 + ... + 17594915594.

It is an arithmetic number, because the mean of its divisors is an integer number (6089904000).

Almost surely, 2^{2621642412480} is an apocalyptic number.

2621642412480 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 2621642412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456553984000).

2621642412480 is an abundant number, since it is smaller than the sum of its proper divisors (8291465555520).

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

2621642412480 is a wasteful number, since it uses less digits than its factorization.

2621642412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 2621642412480 in words is "two trillion, six hundred twenty-one billion, six hundred forty-two million, four hundred twelve thousand, four hundred eighty".