2610887448960 has 768 divisors, whose sum is σ = 10427558768640. Its totient is φ = 589630980096.

The previous prime is 2610887448959. The next prime is 2610887448979. The reversal of 2610887448960 is 698447880162.

2610887448960 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 88 + 74 + 489 + 6 + 0 = 666.

It is a super-2 number, since 2×2610887448960² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2618743182 + ... + 2618744178.

It is an arithmetic number, because the mean of its divisors is an integer number (13577550480).

Almost surely, 2^{2610887448960} is an apocalyptic number.

2610887448960 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 2610887448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213779384320).

2610887448960 is an abundant number, since it is smaller than the sum of its proper divisors (7816671319680).

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

2610887448960 is a wasteful number, since it uses less digits than its factorization.

2610887448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 2610887448960 in words is "two trillion, six hundred ten billion, eight hundred eighty-seven million, four hundred forty-eight thousand, nine hundred sixty".