2611874640 has 80 divisors (see below), whose sum is σ = 8151264000. Its totient is φ = 691815936.

The previous prime is 2611874623. The next prime is 2611874693. The reversal of 2611874640 is 464781162.

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

It is a congruent number.

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, 760 + ... + 72279.

It is an arithmetic number, because the mean of its divisors is an integer number (101890800).

Almost surely, 2^2611874640 is an apocalyptic number.

2611874640 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 2611874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075632000).

2611874640 is an abundant number, since it is smaller than the sum of its proper divisors (5539389360).

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

2611874640 is a wasteful number, since it uses less digits than its factorization.

2611874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73204 (or 73198 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2611874640 is about 51106.5029130345. The cubic root of 2611874640 is about 1377.1590789193.

The spelling of 2611874640 in words is "two billion, six hundred eleven million, eight hundred seventy-four thousand, six hundred forty".