2617052480 has 56 divisors (see below), whose sum is σ = 7122127488. Its totient is φ = 897274368.

The previous prime is 2617052467. The next prime is 2617052489. The reversal of 2617052480 is 842507162.

2617052480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2617052480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617052489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581924 + ... + 586403.

It is an arithmetic number, because the mean of its divisors is an integer number (127180848).

Almost surely, 2^2617052480 is an apocalyptic number.

2617052480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2617052480 is an abundant number, since it is smaller than the sum of its proper divisors (4505075008).

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

2617052480 is a wasteful number, since it uses less digits than its factorization.

2617052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168351 (or 1168341 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 2617052480 is about 51157.1351817124. The cubic root of 2617052480 is about 1378.0685154356.

The spelling of 2617052480 in words is "two billion, six hundred seventeen million, fifty-two thousand, four hundred eighty".