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2970108000 = 25345389103
BaseRepresentation
bin1011000100001000…
…0100000001100000
321122222210010020000
42301002010001200
522040321424000
61210415420000
7133413333666
oct26102040140
97588703200
102970108000
111294604112
126aa824600
13384449772
14202664c36
15125b3c000
hexb1084060

2970108000 has 480 divisors, whose sum is σ = 11130799680. Its totient is φ = 775526400.

The previous prime is 2970107999. The next prime is 2970108017. The reversal of 2970108000 is 8010792.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 28835949 + ... + 28836051.

It is an arithmetic number, because the mean of its divisors is an integer number (23189166).

Almost surely, 22970108000 is an apocalyptic number.

2970108000 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 2970108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565399840).

2970108000 is an abundant number, since it is smaller than the sum of its proper divisors (8160691680).

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

2970108000 is a wasteful number, since it uses less digits than its factorization.

2970108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2970108000 is about 54498.6972321357. The cubic root of 2970108000 is about 1437.4433802526.

Adding to 2970108000 its reverse (8010792), we get a palindrome (2978118792).

The spelling of 2970108000 in words is "two billion, nine hundred seventy million, one hundred eight thousand".