2102586900480 has 864 divisors, whose sum is σ = 8303180296320. Its totient is φ = 487210352640.

The previous prime is 2102586900467. The next prime is 2102586900487. The reversal of 2102586900480 is 840096852012.

2102586900480 = 195495² + 195496² + ... + 195549².

2102586900480 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 5 + 86 + 90 + 0 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2102586900487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1492254016 + ... + 1492255424.

It is an arithmetic number, because the mean of its divisors is an integer number (9610162380).

Almost surely, 2^{2102586900480} is an apocalyptic number.

2102586900480 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 2102586900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151590148160).

2102586900480 is an abundant number, since it is smaller than the sum of its proper divisors (6200593395840).

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

2102586900480 is a wasteful number, since it uses less digits than its factorization.

2102586900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2102586900480 in words is "two trillion, one hundred two billion, five hundred eighty-six million, nine hundred thousand, four hundred eighty".