2611567640 has 64 divisors (see below), whose sum is σ = 6418116000. Its totient is φ = 948490240.

The previous prime is 2611567631. The next prime is 2611567649. The reversal of 2611567640 is 467651162.

It is an interprime number because it is at equal distance from previous prime (2611567631) and next prime (2611567649).

It is a junction number, because it is equal to n+sod(n) for n = 2611567594 and 2611567603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2611567649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405566 + ... + 411954.

Almost surely, 2^2611567640 is an apocalyptic number.

2611567640 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 2611567640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209058000).

2611567640 is an abundant number, since it is smaller than the sum of its proper divisors (3806548360).

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

2611567640 is a wasteful number, since it uses less digits than its factorization.

2611567640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 2611567640 is about 51103.4992931013. The cubic root of 2611567640 is about 1377.1051196676.

The spelling of 2611567640 in words is "two billion, six hundred eleven million, five hundred sixty-seven thousand, six hundred forty".