2623005866880 has 1280 divisors, whose sum is σ = 11096852152320. Its totient is φ = 577787904000.

The previous prime is 2623005866867. The next prime is 2623005866893. The reversal of 2623005866880 is 886685003262.

2623005866880 is a `hidden beast` number, since 2 + 623 + 0 + 0 + 5 + 8 + 6 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2623005866867) and next prime (2623005866893).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4848439410 + ... + 4848439950.

It is an arithmetic number, because the mean of its divisors is an integer number (8669415744).

Almost surely, 2^{2623005866880} is an apocalyptic number.

2623005866880 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 2623005866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548426076160).

2623005866880 is an abundant number, since it is smaller than the sum of its proper divisors (8473846285440).

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

2623005866880 is a wasteful number, since it uses less digits than its factorization.

2623005866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2623005866880 in words is "two trillion, six hundred twenty-three billion, five million, eight hundred sixty-six thousand, eight hundred eighty".