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2470589940 = 22357131743619
BaseRepresentation
bin1001001101000010…
…0011010111110100
320101011211222021010
42103100203113310
520024432334230
61045053152220
7115136445060
oct22320432764
96334758233
102470589940
111058646875
1258b48b670
13304b02b50
14196196aa0
15e6d6b9b0
hex934235f4

2470589940 has 384 divisors, whose sum is σ = 9239408640. Its totient is φ = 478420992.

The previous prime is 2470589939. The next prime is 2470589951. The reversal of 2470589940 is 499850742.

It is a super-2 number, since 2×24705899402 = 12207629303258407200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2470589940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3990951 + ... + 3991569.

It is an arithmetic number, because the mean of its divisors is an integer number (24060960).

Almost surely, 22470589940 is an apocalyptic number.

2470589940 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 2470589940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619704320).

2470589940 is an abundant number, since it is smaller than the sum of its proper divisors (6768818700).

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

2470589940 is a wasteful number, since it uses less digits than its factorization.

2470589940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2470589940 is about 49705.0293229971. The cubic root of 2470589940 is about 1351.8657221369.

The spelling of 2470589940 in words is "two billion, four hundred seventy million, five hundred eighty-nine thousand, nine hundred forty".