2591765940 has 96 divisors (see below), whose sum is σ = 7701692544. Its totient is φ = 648970240.

The previous prime is 2591765929. The next prime is 2591765959. The reversal of 2591765940 is 495671952.

It is a self number, because there is not a number n which added to its sum of digits gives 2591765940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473620 + ... + 479060.

It is an arithmetic number, because the mean of its divisors is an integer number (80225964).

Almost surely, 2^2591765940 is an apocalyptic number.

2591765940 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 2591765940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850846272).

2591765940 is an abundant number, since it is smaller than the sum of its proper divisors (5109926604).

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

2591765940 is a wasteful number, since it uses less digits than its factorization.

2591765940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 2591765940 is about 50909.3895072412. The cubic root of 2591765940 is about 1373.6157423170.

The spelling of 2591765940 in words is "two billion, five hundred ninety-one million, seven hundred sixty-five thousand, nine hundred forty".