2487264978240 has 840 divisors, whose sum is σ = 10327295230560. Its totient is φ = 566577027072.

The previous prime is 2487264978199. The next prime is 2487264978277. The reversal of 2487264978240 is 428794627842.

2487264978240 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 26 + 497 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 389911371 + ... + 389917749.

It is an arithmetic number, because the mean of its divisors is an integer number (12294399084).

Almost surely, 2^{2487264978240} is an apocalyptic number.

2487264978240 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 2487264978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163647615280).

2487264978240 is an abundant number, since it is smaller than the sum of its proper divisors (7840030252320).

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

2487264978240 is a wasteful number, since it uses less digits than its factorization.

2487264978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 2487264978240 in words is "two trillion, four hundred eighty-seven billion, two hundred sixty-four million, nine hundred seventy-eight thousand, two hundred forty".