2511326640 has 80 divisors (see below), whose sum is σ = 7790796000. Its totient is φ = 669198336.

The previous prime is 2511326639. The next prime is 2511326663. The reversal of 2511326640 is 466231152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2511326640² = 12613522985547379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2511326598 and 2511326607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426436 + ... + 432284.

It is an arithmetic number, because the mean of its divisors is an integer number (97384950).

Almost surely, 2^2511326640 is an apocalyptic number.

2511326640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2511326640 is an abundant number, since it is smaller than the sum of its proper divisors (5279469360).

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

2511326640 is a wasteful number, since it uses less digits than its factorization.

2511326640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2511326640 is about 50113.1383970312. The cubic root of 2511326640 is about 1359.2554026741.

Adding to 2511326640 its reverse (466231152), we get a palindrome (2977557792).

The spelling of 2511326640 in words is "two billion, five hundred eleven million, three hundred twenty-six thousand, six hundred forty".