2675578314240 has 800 divisors, whose sum is σ = 10343703585600. Its totient is φ = 657107582976.

The previous prime is 2675578314221. The next prime is 2675578314337. The reversal of 2675578314240 is 424138755762.

2675578314240 is a `hidden beast` number, since 2 + 6 + 7 + 557 + 8 + 3 + 1 + 42 + 40 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1614711492 + ... + 1614713148.

It is an arithmetic number, because the mean of its divisors is an integer number (12929629482).

Almost surely, 2^{2675578314240} is an apocalyptic number.

2675578314240 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 2675578314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171851792800).

2675578314240 is an abundant number, since it is smaller than the sum of its proper divisors (7668125271360).

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

2675578314240 is a wasteful number, since it uses less digits than its factorization.

2675578314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 2675578314240 in words is "two trillion, six hundred seventy-five billion, five hundred seventy-eight million, three hundred fourteen thousand, two hundred forty".