2465725101840 has 3240 divisors, whose sum is σ = 12251788031808. Its totient is φ = 448054364160.

The previous prime is 2465725101809. The next prime is 2465725101857. The reversal of 2465725101840 is 481015275642.

2465725101840 is a `hidden beast` number, since 2 + 4 + 6 + 57 + 2 + 510 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 129775005351 + ... + 129775005369.

Almost surely, 2^{2465725101840} is an apocalyptic number.

2465725101840 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 2465725101840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125894015904).

2465725101840 is an abundant number, since it is smaller than the sum of its proper divisors (9786062929968).

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

2465725101840 is a wasteful number, since it uses less digits than its factorization.

2465725101840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 2465725101840 in words is "two trillion, four hundred sixty-five billion, seven hundred twenty-five million, one hundred one thousand, eight hundred forty".