2578712423040 has 768 divisors, whose sum is σ = 10093716097920. Its totient is φ = 625253105664.

The previous prime is 2578712422997. The next prime is 2578712423057. The reversal of 2578712423040 is 403242178752.

2578712423040 is a `hidden beast` number, since 2 + 578 + 7 + 1 + 2 + 4 + 2 + 30 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135448402 + ... + 135467438.

Almost surely, 2^{2578712423040} is an apocalyptic number.

2578712423040 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 2578712423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046858048960).

2578712423040 is an abundant number, since it is smaller than the sum of its proper divisors (7515003674880).

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

2578712423040 is a wasteful number, since it uses less digits than its factorization.

2578712423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19151 (or 19127 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2578712423040 in words is "two trillion, five hundred seventy-eight billion, seven hundred twelve million, four hundred twenty-three thousand, forty".