2465691840 has 336 divisors, whose sum is σ = 9043306272. Its totient is φ = 639000576.

The previous prime is 2465691829. The next prime is 2465691871. The reversal of 2465691840 is 481965642.

2465691840 is a `hidden beast` number, since 2 + 4 + 6 + 569 + 1 + 84 + 0 = 666.

2465691840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2876692 + ... + 2877548.

It is an arithmetic number, because the mean of its divisors is an integer number (26914602).

Almost surely, 2^2465691840 is an apocalyptic number.

2465691840 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 2465691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521653136).

2465691840 is an abundant number, since it is smaller than the sum of its proper divisors (6577614432).

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

2465691840 is an equidigital number, since it uses as much as digits as its factorization.

2465691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2465691840 is about 49655.7332037299. The cubic root of 2465691840 is about 1350.9717448040.

The spelling of 2465691840 in words is "two billion, four hundred sixty-five million, six hundred ninety-one thousand, eight hundred forty".