2466621020304 has 225 divisors, whose sum is σ = 8056168805139. Its totient is φ = 704485010880.

The previous prime is 2466621020293. The next prime is 2466621020317. The reversal of 2466621020304 is 4030201266642.

The square root of 2466621020304 is 1570548.

It is a perfect power (a square), and thus also a powerful number.

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 44 ways as a sum of consecutive naturals, for example, 923480889 + ... + 923483559.

Almost surely, 2^{2466621020304} is an apocalyptic number.

2466621020304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2466621020304 is the 1570548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2466621020304

2466621020304 is an abundant number, since it is smaller than the sum of its proper divisors (5589547784835).

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

2466621020304 is an frugal number, since it uses more digits than its factorization.

2466621020304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Multiplying 2466621020304 by its sum of digits (36), we get a square (88798356730944 = 9423288²).

2466621020304 divided by its sum of digits (36) gives a square (68517250564 = 261758²).

Adding to 2466621020304 its reverse (4030201266642), we get a palindrome (6496822286946).

The spelling of 2466621020304 in words is "two trillion, four hundred sixty-six billion, six hundred twenty-one million, twenty thousand, three hundred four".