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2040023040 = 21135116037
BaseRepresentation
bin111100110011000…
…0100100000000000
312021011122220111220
41321212010200000
513134221214130
6534232435040
7101360624016
oct17146044000
95234586456
102040023040
119575a3560
1248b248a80
1326684b533
14154d168b6
15be16b410
hex79984800

2040023040 has 192 divisors, whose sum is σ = 7120975680. Its totient is φ = 494469120.

The previous prime is 2040023039. The next prime is 2040023057. The reversal of 2040023040 is 403200402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334902 + ... + 340938.

It is an arithmetic number, because the mean of its divisors is an integer number (37088415).

Almost surely, 22040023040 is an apocalyptic number.

2040023040 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 2040023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560487840).

2040023040 is an abundant number, since it is smaller than the sum of its proper divisors (5080952640).

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

2040023040 is a wasteful number, since it uses less digits than its factorization.

2040023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6078 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2040023040 is about 45166.6142189117. The cubic root of 2040023040 is about 1268.2699157043.

Adding to 2040023040 its reverse (403200402), we get a palindrome (2443223442).

The spelling of 2040023040 in words is "two billion, forty million, twenty-three thousand, forty".