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2040032736 = 253371941433
BaseRepresentation
bin111100110011000…
…0110110111100000
312021011200101211000
41321212012313200
513134222021421
6534232552000
7101360664210
oct17146066740
95234611730
102040032736
119575aa875
1248b252600
13266852a81
14154d1a240
15be16e226
hex79986de0

2040032736 has 384 divisors, whose sum is σ = 7349529600. Its totient is φ = 537477120.

The previous prime is 2040032713. The next prime is 2040032747. The reversal of 2040032736 is 6372300402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4711176 + ... + 4711608.

It is an arithmetic number, because the mean of its divisors is an integer number (19139400).

Almost surely, 22040032736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040032736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674764800).

2040032736 is an abundant number, since it is smaller than the sum of its proper divisors (5309496864).

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

2040032736 is a wasteful number, since it uses less digits than its factorization.

2040032736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2040032736 is about 45166.7215547022. The cubic root of 2040032736 is about 1268.2719250158.

The spelling of 2040032736 in words is "two billion, forty million, thirty-two thousand, seven hundred thirty-six".