2671194240 has 1024 divisors, whose sum is σ = 11844403200. Its totient is φ = 559595520.

The previous prime is 2671194203. The next prime is 2671194277. The reversal of 2671194240 is 424911762.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2671194203) and next prime (2671194277).

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 = 2671194195 and 2671194204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56833897 + ... + 56833943.

It is an arithmetic number, because the mean of its divisors is an integer number (11566800).

Almost surely, 2^2671194240 is an apocalyptic number.

2671194240 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 2671194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922201600).

2671194240 is an abundant number, since it is smaller than the sum of its proper divisors (9173208960).

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

2671194240 is a wasteful number, since it uses less digits than its factorization.

2671194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2671194240 is about 51683.5973980140. The cubic root of 2671194240 is about 1387.5069159626.

The spelling of 2671194240 in words is "two billion, six hundred seventy-one million, one hundred ninety-four thousand, two hundred forty".