2620206144 has 210 divisors, whose sum is σ = 8057563514. Its totient is φ = 841881600.

The previous prime is 2620206109. The next prime is 2620206151. The reversal of 2620206144 is 4416020262.

2620206144 is a `hidden beast` number, since 2 + 6 + 20 + 20 + 614 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 846111744 + 1774094400 = 29088^2 + 42120^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4359444 + ... + 4360044.

Almost surely, 2^2620206144 is an apocalyptic number.

2620206144 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 2620206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028781757).

2620206144 is an abundant number, since it is smaller than the sum of its proper divisors (5437357370).

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

2620206144 is an equidigital number, since it uses as much as digits as its factorization.

2620206144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2620206144 is about 51187.9492068202. The cubic root of 2620206144 is about 1378.6218377418.

The spelling of 2620206144 in words is "two billion, six hundred twenty million, two hundred six thousand, one hundred forty-four".