2190457779840 has 320 divisors, whose sum is σ = 8533660655520. Its totient is φ = 531019929600.

The previous prime is 2190457779793. The next prime is 2190457779841. The reversal of 2190457779840 is 489777540912.

2190457779840 is a `hidden beast` number, since 2 + 1 + 90 + 457 + 7 + 7 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (2190457779841) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1350406 + ... + 2490885.

Almost surely, 2^{2190457779840} is an apocalyptic number.

2190457779840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190457779840 is an abundant number, since it is smaller than the sum of its proper divisors (6343202875680).

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

2190457779840 is a wasteful number, since it uses less digits than its factorization.

2190457779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841333 (or 3841312 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 2190457779840 in words is "two trillion, one hundred ninety billion, four hundred fifty-seven million, seven hundred seventy-nine thousand, eight hundred forty".