2465902080 has 480 divisors, whose sum is σ = 9268871040. Its totient is φ = 603832320.

The previous prime is 2465902069. The next prime is 2465902093. The reversal of 2465902080 is 802095642.

It is a happy number.

2465902080 is a `hidden beast` number, since 2 + 46 + 590 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 18823615 + ... + 18823745.

It is an arithmetic number, because the mean of its divisors is an integer number (19310148).

Almost surely, 2^2465902080 is an apocalyptic number.

2465902080 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 2465902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634435520).

2465902080 is an abundant number, since it is smaller than the sum of its proper divisors (6802968960).

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

2465902080 is a wasteful number, since it uses less digits than its factorization.

2465902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2465902080 is about 49657.8501346967. The cubic root of 2465902080 is about 1351.0101410901.

The spelling of 2465902080 in words is "two billion, four hundred sixty-five million, nine hundred two thousand, eighty".