2511993120 has 384 divisors, whose sum is σ = 9835499520. Its totient is φ = 524759040.

The previous prime is 2511993109. The next prime is 2511993131. The reversal of 2511993120 is 213991152.

2511993120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2511993109) and next prime (2511993131).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5721861 + ... + 5722299.

It is an arithmetic number, because the mean of its divisors is an integer number (25613280).

Almost surely, 2^2511993120 is an apocalyptic number.

2511993120 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 2511993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917749760).

2511993120 is an abundant number, since it is smaller than the sum of its proper divisors (7323506400).

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

2511993120 is a wasteful number, since it uses less digits than its factorization.

2511993120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 2511993120 is about 50119.7877090476. The cubic root of 2511993120 is about 1359.3756361260.

The spelling of 2511993120 in words is "two billion, five hundred eleven million, nine hundred ninety-three thousand, one hundred twenty".