2011098378240 has 520 divisors, whose sum is σ = 8239224676320. Its totient is φ = 459676975104.

The previous prime is 2011098378239. The next prime is 2011098378277. The reversal of 2011098378240 is 428738901102.

It is a happy number.

2011098378240 is a `hidden beast` number, since 20 + 1 + 10 + 9 + 8 + 378 + 240 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 11525566 + ... + 11698754.

Almost surely, 2^{2011098378240} is an apocalyptic number.

2011098378240 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 2011098378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119612338160).

2011098378240 is an abundant number, since it is smaller than the sum of its proper divisors (6228126298080).

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

2011098378240 is an equidigital number, since it uses as much as digits as its factorization.

2011098378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173237 (or 173206 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2011098378240 in words is "two trillion, eleven billion, ninety-eight million, three hundred seventy-eight thousand, two hundred forty".