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2040051024 = 2432115983263
BaseRepresentation
bin111100110011000…
…1011010101010000
312021011201022220100
41321212023111100
513134223113044
6534233212400
7101361101424
oct17146132520
95234638810
102040051024
11957612590
1248b261100
1326685b1ab
14154d22b84
15be174869
hex7998b550

2040051024 has 240 divisors, whose sum is σ = 6434588160. Its totient is φ = 598114560.

The previous prime is 2040051019. The next prime is 2040051029. The reversal of 2040051024 is 4201500402.

It is an interprime number because it is at equal distance from previous prime (2040051019) and next prime (2040051029).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2040050988 and 2040051006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040051029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7756717 + ... + 7756979.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 22040051024 is an apocalyptic number.

2040051024 is a gapful number since it is divisible by the number (24) 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 2040051024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217294080).

2040051024 is an abundant number, since it is smaller than the sum of its proper divisors (4394537136).

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

2040051024 is a wasteful number, since it uses less digits than its factorization.

2040051024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2040051024 is about 45166.9240041870. The cubic root of 2040051024 is about 1268.2757148386.

Adding to 2040051024 its reverse (4201500402), we get a palindrome (6241551426).

The spelling of 2040051024 in words is "two billion, forty million, fifty-one thousand, twenty-four".