2581420622400 has 315 divisors, whose sum is σ = 9490779416041. Its totient is φ = 688224591360.

The previous prime is 2581420622383. The next prime is 2581420622423. The reversal of 2581420622400 is 42260241852.

The square root of 2581420622400 is 1606680.

It is a perfect power (a square), and thus also a powerful number.

2581420622400 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 4 + 20 + 622 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 929311424064 + 1652109198336 = 964008^2 + 1285344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 578402569 + ... + 578407031.

Almost surely, 2^{2581420622400} is an apocalyptic number.

2581420622400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2581420622400 is the 1606680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581420622400

2581420622400 is an abundant number, since it is smaller than the sum of its proper divisors (6909358793641).

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

2581420622400 is an frugal number, since it uses more digits than its factorization.

2581420622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8960 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 2581420622400 by its sum of digits (36), we get a square (92931142406400 = 9640080²).

2581420622400 divided by its sum of digits (36) gives a square (71706128400 = 267780²).

The spelling of 2581420622400 in words is "two trillion, five hundred eighty-one billion, four hundred twenty million, six hundred twenty-two thousand, four hundred".