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2490087408 = 243197093851
BaseRepresentation
bin1001010001101011…
…1011011111110000
320102112112112202120
42110122323133300
520044430244113
61051031114240
7115464252024
oct22432733760
96375475676
102490087408
111068653586
12595b12980
13308b6b603
141989d0384
15e891da23
hex946bb7f0

2490087408 has 80 divisors (see below), whose sum is σ = 6782601600. Its totient is φ = 785030400.

The previous prime is 2490087377. The next prime is 2490087443. The reversal of 2490087408 is 8047800942.

It is a self number, because there is not a number n which added to its sum of digits gives 2490087408.

It is a congruent number.

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, 644683 + ... + 648533.

It is an arithmetic number, because the mean of its divisors is an integer number (84782520).

Almost surely, 22490087408 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 2490087408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391300800).

2490087408 is an abundant number, since it is smaller than the sum of its proper divisors (4292514192).

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

2490087408 is a wasteful number, since it uses less digits than its factorization.

2490087408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2490087408 is about 49900.7756252345. The cubic root of 2490087408 is about 1355.4126379510.

The spelling of 2490087408 in words is "two billion, four hundred ninety million, eighty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 709 912 1418 2127 2836 3851 4254 5672 7702 8508 11344 11553 13471 15404 17016 23106 26942 30808 34032 40413 46212 53884 61616 73169 80826 92424 107768 146338 161652 184848 215536 219507 292676 323304 439014 585352 646608 878028 1170704 1756056 2730359 3512112 5460718 8191077 10921436 16382154 21842872 32764308 43685744 51876821 65528616 103753642 131057232 155630463 207507284 311260926 415014568 622521852 830029136 1245043704 2490087408