2511893412 has 144 divisors (see below), whose sum is σ = 7703579520. Its totient is φ = 673698816.

The previous prime is 2511893393. The next prime is 2511893437. The reversal of 2511893412 is 2143981152.

2511893412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3036943 + ... + 3037769.

It is an arithmetic number, because the mean of its divisors is an integer number (53497080).

Almost surely, 2^2511893412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2511893412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851789760).

2511893412 is an abundant number, since it is smaller than the sum of its proper divisors (5191686108).

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

2511893412 is a wasteful number, since it uses less digits than its factorization.

2511893412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1565 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 2511893412 is about 50118.7930022262. The cubic root of 2511893412 is about 1359.3576500869.

The spelling of 2511893412 in words is "two billion, five hundred eleven million, eight hundred ninety-three thousand, four hundred twelve".