2510420220 has 288 divisors, whose sum is σ = 9994682880. Its totient is φ = 494138880.

The previous prime is 2510420189. The next prime is 2510420221. The reversal of 2510420220 is 220240152.

2510420220 is a `hidden beast` number, since 25 + 1 + 0 + 420 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2510420193 and 2510420202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2510420221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258574 + ... + 268106.

It is an arithmetic number, because the mean of its divisors is an integer number (34703760).

Almost surely, 2^2510420220 is an apocalyptic number.

2510420220 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 2510420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997341440).

2510420220 is an abundant number, since it is smaller than the sum of its proper divisors (7484262660).

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

2510420220 is a wasteful number, since it uses less digits than its factorization.

2510420220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9585 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2510420220 is about 50104.0938447149. The cubic root of 2510420220 is about 1359.0918497373.

Adding to 2510420220 its reverse (220240152), we get a palindrome (2730660372).

The spelling of 2510420220 in words is "two billion, five hundred ten million, four hundred twenty thousand, two hundred twenty".