2465831840 has 192 divisors, whose sum is σ = 6355480320. Its totient is φ = 901570560.

The previous prime is 2465831839. The next prime is 2465831867. The reversal of 2465831840 is 481385642.

2465831840 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 (41).

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, 8901782 + ... + 8902058.

It is an arithmetic number, because the mean of its divisors is an integer number (33101460).

Almost surely, 2^2465831840 is an apocalyptic number.

2465831840 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 2465831840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177740160).

2465831840 is an abundant number, since it is smaller than the sum of its proper divisors (3889648480).

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

2465831840 is a wasteful number, since it uses less digits than its factorization.

2465831840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 2465831840 is about 49657.1428900214. The cubic root of 2465831840 is about 1350.9973133499.

The spelling of 2465831840 in words is "two billion, four hundred sixty-five million, eight hundred thirty-one thousand, eight hundred forty".