2030120040 has 128 divisors (see below), whose sum is σ = 6651590400. Its totient is φ = 492656640.

The previous prime is 2030120039. The next prime is 2030120051. The reversal of 2030120040 is 400210302.

2030120040 = T₄₃₄ + T₄₃₅ + ... + T₂₃₀₅.

It is a super-3 number, since 3×2030120040³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2030119998 and 2030120025.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101596 + ... + 119924.

It is an arithmetic number, because the mean of its divisors is an integer number (51965550).

Almost surely, 2^2030120040 is an apocalyptic number.

2030120040 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 2030120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325795200).

2030120040 is an abundant number, since it is smaller than the sum of its proper divisors (4621470360).

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

2030120040 is a wasteful number, since it uses less digits than its factorization.

2030120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18427 (or 18423 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2030120040 is about 45056.8534187642. The cubic root of 2030120040 is about 1266.2143743751.

Adding to 2030120040 its reverse (400210302), we get a palindrome (2430330342).

The spelling of 2030120040 in words is "two billion, thirty million, one hundred twenty thousand, forty".