2278011083040 has 576 divisors, whose sum is σ = 10202011223040. Its totient is φ = 448439224320.

The previous prime is 2278011083039. The next prime is 2278011083041. The reversal of 2278011083040 is 403801108722.

It is an interprime number because it is at equal distance from previous prime (2278011083039) and next prime (2278011083041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2278011082986 and 2278011083004.

It is not an unprimeable number, because it can be changed into a prime (2278011083041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1566067 + ... + 2647373.

It is an arithmetic number, because the mean of its divisors is an integer number (17711825040).

Almost surely, 2^{2278011083040} is an apocalyptic number.

2278011083040 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 2278011083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101005611520).

2278011083040 is an abundant number, since it is smaller than the sum of its proper divisors (7924000140000).

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

2278011083040 is a wasteful number, since it uses less digits than its factorization.

2278011083040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081365 (or 1081354 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 2278011083040 in words is "two trillion, two hundred seventy-eight billion, eleven million, eighty-three thousand, forty".