2511840 has 48 divisors (see below), whose sum is σ = 7913808. Its totient is φ = 669696.

The previous prime is 2511827. The next prime is 2511851. The reversal of 2511840 is 481152.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2137 + ... + 3096.

It is an arithmetic number, because the mean of its divisors is an integer number (164871).

2^2511840 is an apocalyptic number.

2511840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2511840 is an abundant number, since it is smaller than the sum of its proper divisors (5401968).

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

2511840 is a wasteful number, since it uses less digits than its factorization.

2511840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2511840 is about 1584.8785442424. The cubic root of 2511840 is about 135.9348015054.

Adding to 2511840 its reverse (481152), we get a palindrome (2992992).

The spelling of 2511840 in words is "two million, five hundred eleven thousand, eight hundred forty".