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2060400000 = 2735517101
BaseRepresentation
bin111101011001111…
…0011010110000000
312022121000011110010
41322303303112000
513204430300000
6540241304520
7102026053041
oct17263632600
95277004403
102060400000
1196805101a
12496035140
1326ab343c9
141578dc8c8
15c0d43d50
hex7acf3580

2060400000 has 384 divisors, whose sum is σ = 7314844320. Its totient is φ = 512000000.

The previous prime is 2060399993. The next prime is 2060400011. The reversal of 2060400000 is 40602.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20399950 + ... + 20400050.

Almost surely, 22060400000 is an apocalyptic number.

2060400000 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 2060400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657422160).

2060400000 is an abundant number, since it is smaller than the sum of its proper divisors (5254444320).

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

2060400000 is an equidigital number, since it uses as much as digits as its factorization.

2060400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

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

The square root of 2060400000 is about 45391.6291842450. The cubic root of 2060400000 is about 1272.4786774822.

Adding to 2060400000 its reverse (40602), we get a palindrome (2060440602).

The spelling of 2060400000 in words is "two billion, sixty million, four hundred thousand".