2012088554640 has 200 divisors, whose sum is σ = 7028680245048. Its totient is φ = 533455165440.

The previous prime is 2012088554621. The next prime is 2012088554677. The reversal of 2012088554640 is 464558802102.

2012088554640 is a `hidden beast` number, since 2 + 0 + 1 + 20 + 8 + 85 + 546 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1000664110224 + 1011424444416 = 1000332^2 + 1005696^2 .

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 39 ways as a sum of consecutive naturals, for example, 223620 + ... + 2018460.

Almost surely, 2^{2012088554640} is an apocalyptic number.

2012088554640 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 2012088554640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514340122524).

2012088554640 is an abundant number, since it is smaller than the sum of its proper divisors (5016591690408).

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

2012088554640 is a wasteful number, since it uses less digits than its factorization.

2012088554640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795039 (or 1795024 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 2012088554640 in words is "two trillion, twelve billion, eighty-eight million, five hundred fifty-four thousand, six hundred forty".