2029674240 has 576 divisors, whose sum is σ = 8300275200. Its totient is φ = 464486400.

The previous prime is 2029674211. The next prime is 2029674277. The reversal of 2029674240 is 424769202.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 2029674195 and 2029674204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7222900 + ... + 7223180.

It is an arithmetic number, because the mean of its divisors is an integer number (14410200).

Almost surely, 2^2029674240 is an apocalyptic number.

2029674240 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 2029674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150137600).

2029674240 is an abundant number, since it is smaller than the sum of its proper divisors (6270600960).

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

2029674240 is a wasteful number, since it uses less digits than its factorization.

2029674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2029674240 is about 45051.9060640058. The cubic root of 2029674240 is about 1266.1216836835.

The spelling of 2029674240 in words is "two billion, twenty-nine million, six hundred seventy-four thousand, two hundred forty".