2009742840 has 240 divisors, whose sum is σ = 7858441800. Its totient is φ = 459333504.

The previous prime is 2009742817. The next prime is 2009742853. The reversal of 2009742840 is 482479002.

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 = 2009742795 and 2009742804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 152431 + ... + 165089.

Almost surely, 2^2009742840 is an apocalyptic number.

2009742840 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 2009742840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929220900).

2009742840 is an abundant number, since it is smaller than the sum of its proper divisors (5848698960).

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

2009742840 is a wasteful number, since it uses less digits than its factorization.

2009742840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12696 (or 12676 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2009742840 is about 44830.1554759740. The cubic root of 2009742840 is about 1261.9636049624.

The spelling of 2009742840 in words is "two billion, nine million, seven hundred forty-two thousand, eight hundred forty".