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2076503040 = 2103551669
BaseRepresentation
bin111101111000100…
…1110110000000000
312100201022021200000
41323301032300000
513223041044130
6542014400000
7102312661503
oct17361166000
95321267600
102076503040
1197614a517
1249b500000
13271281b31
14159ad113a
15c2475260
hex7bc4ec00

2076503040 has 264 divisors, whose sum is σ = 7465982160. Its totient is φ = 553402368.

The previous prime is 2076503021. The next prime is 2076503041. The reversal of 2076503040 is 403056702.

It is a happy number.

2076503040 is a `hidden beast` number, since 2 + 0 + 7 + 650 + 3 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2076502995 and 2076503013.

It is not an unprimeable number, because it can be changed into a prime (2076503041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243326 + ... + 1244994.

Almost surely, 22076503040 is an apocalyptic number.

2076503040 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 2076503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732991080).

2076503040 is an abundant number, since it is smaller than the sum of its proper divisors (5389479120).

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

2076503040 is an equidigital number, since it uses as much as digits as its factorization.

2076503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2076503040 is about 45568.6629165263. The cubic root of 2076503040 is about 1275.7850943256.

Adding to 2076503040 its reverse (403056702), we get a palindrome (2479559742).

The spelling of 2076503040 in words is "two billion, seventy-six million, five hundred three thousand, forty".