2612552120 has 64 divisors (see below), whose sum is σ = 5967216000. Its totient is φ = 1029270528.

The previous prime is 2612552093. The next prime is 2612552123. The reversal of 2612552120 is 212552162.

2612552120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2612552120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612552123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1797314 + ... + 1798766.

It is an arithmetic number, because the mean of its divisors is an integer number (93237750).

Almost surely, 2^2612552120 is an apocalyptic number.

2612552120 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 2612552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983608000).

2612552120 is an abundant number, since it is smaller than the sum of its proper divisors (3354663880).

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

2612552120 is a wasteful number, since it uses less digits than its factorization.

2612552120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2612552120 is about 51113.1306026152. The cubic root of 2612552120 is about 1377.2781399010.

The spelling of 2612552120 in words is "two billion, six hundred twelve million, five hundred fifty-two thousand, one hundred twenty".