2838407040 has 768 divisors, whose sum is σ = 12270061440. Its totient is φ = 589824000.

The previous prime is 2838406943. The next prime is 2838407059. The reversal of 2838407040 is 407048382.

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 = 2838406986 and 2838407004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28102990 + ... + 28103090.

Almost surely, 2^2838407040 is an apocalyptic number.

2838407040 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 2838407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135030720).

2838407040 is an abundant number, since it is smaller than the sum of its proper divisors (9431654400).

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

2838407040 is a wasteful number, since it uses less digits than its factorization.

2838407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2838407040 is about 53276.7026006678. The cubic root of 2838407040 is about 1415.8749291045.

The spelling of 2838407040 in words is "two billion, eight hundred thirty-eight million, four hundred seven thousand, forty".