2600473559040 has 2304 divisors, whose sum is σ = 11486916080640. Its totient is φ = 561842749440.

The previous prime is 2600473559039. The next prime is 2600473559041. The reversal of 2600473559040 is 409553740062.

2600473559040 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 473 + 55 + 90 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2600473559039) and next prime (2600473559041).

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2600473559041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60476129259 + ... + 60476129301.

It is an arithmetic number, because the mean of its divisors is an integer number (4985640660).

Almost surely, 2^{2600473559040} is an apocalyptic number.

2600473559040 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 2600473559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743458040320).

2600473559040 is an abundant number, since it is smaller than the sum of its proper divisors (8886442521600).

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

2600473559040 is an frugal number, since it uses more digits than its factorization.

2600473559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

It can be divided in two parts, 2600473 and 559040, that added together give a palindrome (3159513).

The spelling of 2600473559040 in words is "two trillion, six hundred billion, four hundred seventy-three million, five hundred fifty-nine thousand, forty".