2480264640 has 336 divisors, whose sum is σ = 10324746432. Its totient is φ = 533495808.

The previous prime is 2480264627. The next prime is 2480264653. The reversal of 2480264640 is 464620842.

It is a happy number.

2480264640 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 2 + 6 + 4 + 640 = 666.

2480264640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2480264627) and next prime (2480264653).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 2480264595 and 2480264604.

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, 339102 + ... + 346338.

It is an arithmetic number, because the mean of its divisors is an integer number (30728412).

Almost surely, 2^2480264640 is an apocalyptic number.

2480264640 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 2480264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162373216).

2480264640 is an abundant number, since it is smaller than the sum of its proper divisors (7844481792).

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

2480264640 is a wasteful number, since it uses less digits than its factorization.

2480264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2480264640 is about 49802.2553706155. The cubic root of 2480264640 is about 1353.6280354001.

The spelling of 2480264640 in words is "two billion, four hundred eighty million, two hundred sixty-four thousand, six hundred forty".