2578780670400 has 840 divisors, whose sum is σ = 10369866000384. Its totient is φ = 623394662400.

The previous prime is 2578780670383. The next prime is 2578780670413. The reversal of 2578780670400 is 40760878752.

It is a happy number.

2578780670400 is a `hidden beast` number, since 2 + 578 + 7 + 8 + 0 + 67 + 0 + 4 + 0 + 0 = 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 119 ways as a sum of consecutive naturals, for example, 546002439 + ... + 546007161.

Almost surely, 2^{2578780670400} is an apocalyptic number.

2578780670400 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 2578780670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184933000192).

2578780670400 is an abundant number, since it is smaller than the sum of its proper divisors (7791085329984).

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

2578780670400 is a wasteful number, since it uses less digits than its factorization.

2578780670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 2578780670400 in words is "two trillion, five hundred seventy-eight billion, seven hundred eighty million, six hundred seventy thousand, four hundred".