2051988180480 has 2560 divisors, whose sum is σ = 9333688320000. Its totient is φ = 416700039168.

The previous prime is 2051988180457. The next prime is 2051988180491. The reversal of 2051988180480 is 840818891502.

2051988180480 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 9 + 8 + 81 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11463621031 + ... + 11463621209.

It is an arithmetic number, because the mean of its divisors is an integer number (3645972000).

Almost surely, 2^{2051988180480} is an apocalyptic number.

2051988180480 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 2051988180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666844160000).

2051988180480 is an abundant number, since it is smaller than the sum of its proper divisors (7281700139520).

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

2051988180480 is a wasteful number, since it uses less digits than its factorization.

2051988180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 2051988180480 in words is "two trillion, fifty-one billion, nine hundred eighty-eight million, one hundred eighty thousand, four hundred eighty".