2578364006400 has 2880 divisors, whose sum is σ = 12162278634660. Its totient is φ = 535088332800.

The previous prime is 2578364006381. The next prime is 2578364006417. The reversal of 2578364006400 is 46004638752.

2578364006400 is a `hidden beast` number, since 2 + 578 + 36 + 4 + 0 + 0 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 54688628736 + 2523675377664 = 233856^2 + 1588608^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 42268262370 + ... + 42268262430.

Almost surely, 2^{2578364006400} is an apocalyptic number.

2578364006400 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 2578364006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081139317330).

2578364006400 is an abundant number, since it is smaller than the sum of its proper divisors (9583914628260).

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

2578364006400 is an equidigital number, since it uses as much as digits as its factorization.

2578364006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2578364006400 in words is "two trillion, five hundred seventy-eight billion, three hundred sixty-four million, six thousand, four hundred".