2761425120 has 96 divisors (see below), whose sum is σ = 8735247360. Its totient is φ = 733268480.

The previous prime is 2761425119. The next prime is 2761425131. The reversal of 2761425120 is 215241672.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102685 + ... + 126755.

It is an arithmetic number, because the mean of its divisors is an integer number (90992160).

Almost surely, 2^2761425120 is an apocalyptic number.

2761425120 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 2761425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367623680).

2761425120 is an abundant number, since it is smaller than the sum of its proper divisors (5973822240).

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

2761425120 is a wasteful number, since it uses less digits than its factorization.

2761425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24328 (or 24320 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2761425120 is about 52549.2637436530. The cubic root of 2761425120 is about 1402.9572049121.

Adding to 2761425120 its reverse (215241672), we get a palindrome (2976666792).

The spelling of 2761425120 in words is "two billion, seven hundred sixty-one million, four hundred twenty-five thousand, one hundred twenty".