2610214420 has 72 divisors (see below), whose sum is σ = 6069814632. Its totient is φ = 942120960.

The previous prime is 2610214417. The next prime is 2610214441. The reversal of 2610214420 is 244120162.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9622404 + 2600592016 = 3102^2 + 50996^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2610214391 and 2610214400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327604 + ... + 335476.

It is an arithmetic number, because the mean of its divisors is an integer number (84302981).

Almost surely, 2^2610214420 is an apocalyptic number.

2610214420 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 2610214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034907316).

2610214420 is an abundant number, since it is smaller than the sum of its proper divisors (3459600212).

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

2610214420 is a wasteful number, since it uses less digits than its factorization.

2610214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2610214420 is about 51090.2575840052. The cubic root of 2610214420 is about 1376.8672231995.

Adding to 2610214420 its reverse (244120162), we get a palindrome (2854334582).

The spelling of 2610214420 in words is "two billion, six hundred ten million, two hundred fourteen thousand, four hundred twenty".